Open Access

On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations

Boundary Value Problems20092009:156063

Received: 14 January 2009

Accepted: 6 September 2009

Published: 27 September 2009


Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of superlinear and nonhomogeneous quasilinear equations. The key factor in this paper is to use the new idea of near p-homogeneity in conjunction with variational techniques to obtain a new multiplicity result for a vast set of nonlinear equations, such as the mean curvature equation and so on.


Differential EquationPartial Differential EquationOrdinary Differential EquationWeak SolutionFunctional Equation

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Authors’ Affiliations

College of Science, University of Shanghai for Science and Technology, Shanghai, China


© Gao Jia et al. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.