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On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations
Boundary Value Problems volume 2009, Article number: 156063 (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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Jia, G., Zhao, Q. & Dai, Cy. On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations. Bound Value Probl 2009, 156063 (2009). https://doi.org/10.1155/2009/156063
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DOI: https://doi.org/10.1155/2009/156063