| 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 |
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