Abstract
In this paper we study a nonlinear Dirichlet problem driven by the p-Laplacian and a right-hand side nonlinearity which exhibits an asymmetric behavior near $+ \infty$ and $- \infty$. Using variational techniques based on the mountain pass theorem and the second deformation theorem, we prove the existence of at least two nontrivial $C^1$- solutions, one of which is strictly positive.
Citation
Shouchuan Hu. Nikolaos S. Papageorgiou. "Multiple nontrivial solutions for $p$-Laplacian equations with an asymmetric nonlinearity." Differential Integral Equations 19 (12) 1371 - 1390, 2006. https://doi.org/10.57262/die/1356050294
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