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Existence of infinitely many solutions for fractional p-Laplacian equations with sign-changing potential

In this article, we prove the existence of infinitely many solutions for the fractional $p$-Laplacian equation $$ (-\Delta)^s_p u+V(x)|u|^{p-2}u=f(x,u),\quad x\in \mathbb{R}^N $$ where $s\in(0,1)$, $2\leq p<\infty$. Based on a direct sum decomposition of a space $E^s$, we investigate the...

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Detalhes bibliográficos
Main Authors: Youpei Zhang, Xianhua Tang, Jian Zhang
Formato: Artigo
Idioma:Inglês
Publicado em: Texas State University 2017-09-01
Colecção:Electronic Journal of Differential Equations
Assuntos:
Acesso em linha:http://ejde.math.txstate.edu/Volumes/2017/208/abstr.html
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