Multiplicity of nonradial solutions for a class of quasilinear equations on annulus with exponential critical growth
Keywords
Variational methods, positive solutions, quasilinear equationsAbstract
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.Downloads
Published
2012-04-23
How to Cite
1.
ALVES, Claudianor O. and 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 April 2012. Vol. 39, no. 2, pp. 243 - 262. [Accessed 26 April 2024].
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