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 article |
URI: | 2-s2.0-85044421608 http://hdl.handle.net/11025/30443 |
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) OBD |
Files in This Item:
File | Size | Format | |
---|---|---|---|
adb3aef5-5209-488c-ac3b-4e3a07ef3e9c.pdf | 669,72 kB | Adobe PDF | View/Open Request a copy |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/30443
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.