Title: Remarks on minimizers for (p, q)-Laplace equations with two parameters
Authors: Bobkov, Vladimír
Tanaka, Mieko
Issue Date: 2018
Publisher: American Institute of Mathematical Sciences
Document type: článek
URI: 2-s2.0-85044421608
ISSN: 1534-0392
Keywords in different language: p-Laplacian;(p,q)-Laplacian;nonlinear eigenvalue problem;global minimizer;ground states;Nehari manifold;fibered functional;improved Poincaré inequality.
Abstract in different language: We study in detail the existence, nonexistence and behavior of global minimizers, ground states and corresponding energy levels of the (p,q)-Laplace equation in a bounded domain under zero Dirichlet boundary condition, where p>q>1. A curve on the plane of parameters which allocates a set of the existence of ground states and the multiplicity of positive solutions is constructed. Additionally, we show that eigenfunctions of the p-and q-Laplacians under zero Dirichlet boundary condition are linearly independent.
Rights: Plný text není přístupný.
© American Institute of Mathematical Sciences
Appears in Collections:Články / Articles (KMA)

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