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arXiv · 1702.04534

Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on $\mathbb{R}^{N}$

Claudianor O. Alves·Alan C. B. dos Santos
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Abstract

In this paper, we establish existence and multiplicity of solutions for the following class of quasilinear field equation $$ -\Delta u+V(x)u-\Delta_{p}u+W'(u)=0, \,\,\, \mbox{in} \,\,\, \mathbb{R}^{N}, \eqno{(P)} $$ where $u=(u_1,u_2,...,u_{N+1})$, $p>N \geq 2$, $W$ is a singular function and $V$ is a positive continuous function.

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Claudianor O. Alves, Alan C. B. dos Santos. 2017-02-15. Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on $\mathbb{R}^{N}$. https://arxiv.org/abs/1702.04534

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