Multiplicity of nonradial solutions for a class of quasilinear equations on annulus with exponential critical growth
Słowa kluczowe
Variational methods, positive solutions, quasilinear equationsAbstrakt
In this paper, we establish the existence of many rotationally non-equivalent and nonradial solutions for the following class of quasilinear problems $$ \cases -\Delta_{N} u = \lambda f(|x|,u) &x\in \Omega_r,\\ u > 0 &x\in \Omega_r,\\ u=0 &x\in \partial\Omega_r, \endcases \tag P $$ where $\Omega_r = \{ x \in \mathbb{R}^{N}: r < |x| < r+1\}$, $N \geq 2$, $N\neq 3$, $r > 0$, $\lambda > 0$, $\Delta_{N}u= \div(|\nabla u|^{N-2}\nabla u ) $ is the $N$-Laplacian operator and $f$ is a continuous function with exponential critical growth.Pobrania
Opublikowane
2012-04-23
Jak cytować
1.
ALVES, Claudianor O. & FREITAS, Luciana R. de. Multiplicity of nonradial solutions for a class of quasilinear equations on annulus with exponential critical growth. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2012, T. 39, nr 2, s. 243–262. [udostępniono 22.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0