Existence of nontrivial weak solutions for a quasilinear Choquard equation

Abstract We are concerned with the following quasilinear Choquard equation: −Δpu+V(x)|u|p−2u=λ(Iα∗F(u))f(u)in RN,F(t)=∫0tf(s)ds, $$ -\Delta_{p} u+V(x)|u|^{p-2}u=\lambda\bigl(I_{\alpha} \ast F(u)\bigr)f(u) \quad \text{in } \mathbb {R}^{N}, \qquad F(t)= \int_{0}^{t}f(s) \,ds, $$ where 1<p<∞ $1< p<\inf...

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Autori principali:	Jongrak Lee, Jae-Myoung Kim, Jung-Hyun Bae, Kisoeb Park
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	SpringerOpen 2018-02-01
Serie:	Journal of Inequalities and Applications
Soggetti:	Weak solutions Variational method Choquard equation
Accesso online:	http://link.springer.com/article/10.1186/s13660-018-1632-z
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