Nontrivial Solutions for Perturbations of the p-Laplacian on Unbounded Domains (original) (raw)
1995, Journal of Mathematical Analysis and Applications
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This paper investigates the existence of solutions for the Dirichlet problem associated with the p-Laplacian operator in unbounded domains. It focuses on a specific setting where the nonlinearity exhibits subcritical growth. Using variational methods and critical point theory, the study establishes conditions under which nontrivial solutions exist, thereby contributing to the understanding of non-linear partial differential equations in mathematical analysis.
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