On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations
© Gao Jia et al. 2009
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.
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