Multiplicity of solutions for a class of fractional elliptic problem with critical exponential growth and nonlocal Neumann condition

Autor: Alves, Claudianor O., Ledesma, César E. Torres
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we consider the existence and multiplicity of weak solutions for the following class of fractional elliptic problem \begin{equation}\label{00} \left\{\begin{aligned} (-\Delta)^{\frac{1}{2}}u + u &= Q(x)f(u)\;\;\mbox{in}\;\;\R \setminus (a,b)\\ \mathcal{N}_{1/2}u(x) &= 0\;\;\mbox{in}\;\;(a,b), \end{aligned} \right. \end{equation} where $a,b\in \R$ with $aComment: arXiv admin note: substantial text overlap with arXiv:1812.04881
Databáze: arXiv