On the Solvability of Superlinear and Nonhomogeneous Quasilinear EquationsReport as inadecuate




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Boundary Value Problems

, 2009:156063

First Online: 27 September 2009Received: 14 January 2009Accepted: 06 September 2009

Abstract

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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Author: Gao Jia - Qing Zhao - Chun-yan Dai

Source: https://link.springer.com/



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