Abstract Multiplicity Results for (p, Q)-Laplace Equations with Two Parameters

Rendiconti del Circolo Matematico di Palermo Series 2（2024）

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摘要

We investigate the existence and multiplicity of abstract weak solutions of the equation -Δ _p u -Δ _q u=α |u|^p-2u+β |u|^q-2u in a bounded domain under zero Dirichlet boundary conditions, assuming 1

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关键词

p-Laplacian,(p,q)-Laplacian,Variational eigenvalues,Multiplicity,Symmetric mountain-pass theorem,Nehari manifold,35J92,35B30,35A01,35B38

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