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Existence and nonexistence of positive solutions for quasilinear systems

The paper deals with the existence and nonexistence of positive solutions for a class of -Laplacian systems. We investigate the effect of the siz...

Authors: Haiyan Wang

Citation: Boundary Value Problems 2006 2006:71534

Content type: Research Article Published on: 6 June 2006
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On explicit and numerical solvability of parabolic initial-boundary value problems

A homogeneous boundary condition is constructed for the parabolic equation in an arbitrary cylindrical domain ...

Authors: Alexander Kozhevnikov and Olga Lepsky

Citation: Boundary Value Problems 2006 2006:75458

Content type: Research Article Published on: 31 May 2006
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The exact asymptotic behaviour of the unique solution to a singular Dirichlet problem

By Karamata regular variation theory, we show the existence and exact asymptotic behaviour of the unique classical solution near the boundary to...

Authors: Zhijun Zhang and Jianning Yu

Citation: Boundary Value Problems 2006 2006:75674

Content type: Research Article Published on: 23 May 2006
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Generalized quasilinearization method and higher order of convergence for second-order boundary value problems

The method of generalized quasilinearization for second-order boundary value problems has been extended when the forcing function is the sum of -...

Authors: Tanya G Melton and AS Vatsala

Citation: Boundary Value Problems 2006 2006:25715

Content type: Research Article Published on: 18 March 2006
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Second-order estimates for boundary blowup solutions of special elliptic equations

We find a second-order approximation of the boundary blowup solution of the equation , with

Authors: Claudia Anedda, Anna Buttu and Giovanni Porru

Citation: Boundary Value Problems 2006 2006:45859

Content type: Research Article Published on: 2 March 2006
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Existence results for classes of -Laplacian semipositone equations

We study positive solutions to classes of boundary value problems of the form

Authors: Shobha Oruganti and R Shivaji

Citation: Boundary Value Problems 2006 2006:87483

Content type: Research Article Published on: 23 February 2006
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Boundary regularity of weak solutions to nonlinear elliptic obstacle problems

We study the boundary regularity of weak solutions to nonlinear obstacle problem with -obstacle function, and obtain the ...

Authors: M Junxia and Chu Yuming

Citation: Boundary Value Problems 2006 2006:72012

Content type: Research Article Published on: 15 February 2006
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Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities

A boundary-value problem for a semilinear elliptic equation in a convex ring is considered. Under suitable structural conditions, any classical solution

Authors: Antonio Greco

Citation: Boundary Value Problems 2006 2006:80347

Content type: Research Article Published on: 14 February 2006
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Asymptotic boundary value problems for evolution inclusions

When solving boundary value problems on infinite intervals, it is possible to use continuation principles. Some of these principles take advantage of equipping the considered function spaces with topologies of...

Authors: Tomáš Fürst

Citation: Boundary Value Problems 2006 2006:68329

Content type: Research Article Published on: 14 February 2006
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A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems

We study a final value problem for first-order abstract differential equation with positive self-adjoint unbounded operator coefficient. This problem is ill-posed. Perturbing the final condition, we obtain an ...

Authors: M Denche and S Djezzar

Citation: Boundary Value Problems 2006 2006:37524

Content type: Research Article Published on: 13 February 2006
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Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space ...

Authors: Mihai Mihăilescu

Citation: Boundary Value Problems 2006 2006:41295

Content type: Research Article Published on: 7 February 2006
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Two-point boundary value problems for higher-order linear differential equations with strong singularities

For strongly singular higher-order linear differential equations together with two-point conjugate and right-focal boundary conditions, we provide easily verifiable best possible conditions which guarantee the...

Authors: RP Agarwal and I Kiguradze

Citation: Boundary Value Problems 2006 2006:83910

Content type: Research Article Published on: 3 January 2006
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On a boundary value problem for nonlinear functional differential equations

We consider the problem , , where ...

Authors: Robert Hakl

Citation: Boundary Value Problems 2005 2005:964950

Content type: Research Article Published on: 13 November 2005
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On a periodic boundary value problem for second-order linear functional differential equations

Unimprovable efficient sufficient conditions are established for the unique solvability of the periodic problem for ...

Authors: S Mukhigulashvili

Citation: Boundary Value Problems 2005 2005:960698

Content type: Research Article Published on: 13 November 2005
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Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces

We investigate the existence of multiple solutions to quasilinear elliptic problems containing Laplace like operators ( -Laplacians). We are inte...

Authors: Nikolaos Halidias and Vy K Le

Citation: Boundary Value Problems 2005 2005:872407

Content type: Research Article Published on: 13 November 2005
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Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions

We study the uniqueness of positive solutions of the boundary value problem ,

Authors: Ruyun Ma and Yulian An

Citation: Boundary Value Problems 2005 2005:756805

Content type: Research Article Published on: 13 November 2005
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On a shock problem involving a nonlinear viscoelastic bar

We treat an initial boundary value problem for a nonlinear wave equation in the domain

Authors: Nguyen Thanh Long, Alain Pham Ngoc Dinh and Tran Ngoc Diem

Citation: Boundary Value Problems 2005 2005:718156

Content type: Research Article Published on: 13 November 2005
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Existence of a positive solution for a -Laplacian semipositone problem

We consider the boundary value problem in satisfying ...

Authors: Maya Chhetri and R Shivaji

Citation: Boundary Value Problems 2005 2005:576572

Content type: Research Article Published on: 13 November 2005
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On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations

For wave equations with power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of the Cauchy characteristic problem in the light cone of the future.

Authors: S Kharibegashvili

Citation: Boundary Value Problems 2005 2005:576352

Content type: Research Article Published on: 13 November 2005
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Multiple positive solutions of singular -Laplacian problems by variational methods

We obtain multiple positive solutions of singular -Laplacian problems using variational methods. The techniques are applicable to other types of ...

Authors: Kanishka Perera and Zhitao Zhang

Citation: Boundary Value Problems 2005 2005:531951

Content type: Research Article Published on: 13 November 2005
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The first eigenvalue of -Laplacian systems with nonlinear boundary conditions

We study the properties of the positive principal eigenvalue and the corresponding eigenspaces of two quasilinear elliptic systems under nonlinear boundary conditions. We prove that this eigenvalue is simple, ...

Authors: DA Kandilakis, M Magiropoulos and NB Zographopoulos

Citation: Boundary Value Problems 2005 2005:251350

Content type: Research Article Published on: 13 November 2005
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Existence of infinitely many nodal solutions for a superlinear Neumann boundary value problem

We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem is based on the variational methods and...

Authors: Aixia Qian

Citation: Boundary Value Problems 2005 2005:201383

Content type: Research Article Published on: 13 November 2005
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On weak solutions of the equations of motion of a viscoelastic medium with variable boundary

The regularized system of equations for one model of a viscoelastic medium with memory along trajectories of the field of velocities is under consideration. The case of a changing domain is studied. We investi...

Authors: VG Zvyagin and VP Orlov

Citation: Boundary Value Problems 2005 2005:174137

Content type: Research Article Published on: 13 November 2005
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Monotone iterative technique for semilinear elliptic systems

We develop monotone iterative technique for a system of semilinear elliptic boundary value problems when the forcing function is the sum of Caratheodory functions which are nondecreasing and nonincreasing, res...

Authors: AS Vatsala and Jie Yang

Citation: Boundary Value Problems 2005 2005:746460

Content type: Research Article Published on: 12 June 2005
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On delay differential equations with nonlinear boundary conditions

The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique ...

Authors: Tadeusz Jankowski

Citation: Boundary Value Problems 2005 2005:713031

Content type: Research Article Published on: 12 June 2005
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Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media

We study nonlinear eigenvalue problems of the type in , where

Authors: Dumitru Motreanu and Vicenţiu RăDulescu

Citation: Boundary Value Problems 2005 2005:708605

Content type: Research Article Published on: 12 June 2005
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Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations

We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, ...

Authors: Francesca Dalbono and PJ McKenna

Citation: Boundary Value Problems 2005 2005:702485

Content type: Research Article Published on: 12 June 2005
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Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces

We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are als...

Authors: Siegfried Carl and S Heikkilä

Citation: Boundary Value Problems 2005 2005:505679

Content type: Research Article Published on: 12 June 2005
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Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation

This paper establishes necessary and sufficient condition for the regularity of a characteristic top boundary point of an arbitrary open subset of

Authors: Ugur G Abdulla

Citation: Boundary Value Problems 2005 2005:289712

Content type: Research Article Published on: 12 June 2005
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On boundary value problems for second-order discrete inclusions

We prove some existence theorems regarding solutions to boundary value problems for systems of second-order discrete inclusions. For a certain class of right-hand sides, we present some lemmas showing that all...

Authors: Petr Stehlík and Christopher C Tisdell

Citation: Boundary Value Problems 2005 2005:162763

Content type: Research Article Published on: 12 June 2005
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Semilinear problems with bounded nonlinear term

We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term.

Authors: Martin Schechter

Citation: Boundary Value Problems 2005 2005:816138

Content type: Research Article Published on: 2 February 2005
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Maximal regular boundary value problems in Banach-valued weighted space

This study focuses on nonlocal boundary value problems for elliptic ordinary and partial differential-operator equations of arbitrary order, defined in Banach-valued function spaces. The region considered here...

Authors: Ravi P Agarwal, Martin Bohner and Veli B Shakhmurov

Citation: Boundary Value Problems 2005 2005:720289

Content type: Research Article Published on: 2 February 2005
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Boundary value problems for the nd-order Seiberg-Witten equations

It is shown that the nonhomogeneous Dirichlet and Neuman problems for the nd-order Seiberg-Witten equation on a compact ...

Authors: Celso Melchiades Doria

Citation: Boundary Value Problems 2005 2005:412046

Content type: Research Article Published on: 2 February 2005
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Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in

We study the Riemann boundary value problem , for analytic functions in the class of analytic functions represented by the Cauchy-type integrals ...

Authors: V Kokilashvili, V Paatashvili and S Samko

Citation: Boundary Value Problems 2005 2005:361409

Content type: Research Article Published on: 2 February 2005
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