Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949875357> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2949875357 abstract "In this paper we are interested in the following nonlinear Choquard equation $$ -Delta u+(lambda V(x)-beta)u =big(|x|^{-mu}ast |u|^{2_{mu}^{ast}}big)|u|^{2_{mu}^{ast}-2}uhspace{4.14mm}mbox{in}hspace{1.14mm} mathbb{R}^N, $$ where $lambda,betainmathbb{R}^+$, $0<mu<N$, $Ngeq4$, $2_{mu}^{ast}=(2N-mu)/(N-2)$ is the upper critical exponent due to the Hardy-Littlewood-Sobolev inequality and the nonnegative potential function $Vin mathcal{C}(mathbb{R}^N,mathbb{R})$ such that $Omega :=mbox{int} V^{-1}(0)$ is a nonempty bounded set with smooth boundary. If $beta>0$ is a constant such that the operator $-Delta +lambda V(x)-beta$ is non-degenerate, we prove the existence of ground state solutions which localize near the potential well int $V^{-1}(0)$ for $lambda$ large enough and also characterize the asymptotic behavior of the solutions as the parameter $lambda$ goes to infinity. Furthermore, for any $0<beta<beta_{1}$, we are able to find the existence of multiple solutions by the Lusternik-Schnirelmann category theory, where $beta_{1}$ is the first eigenvalue of $-Delta$ on $Omega$ with Dirichlet boundary condition." @default.
- W2949875357 created "2019-06-27" @default.
- W2949875357 creator A5046001568 @default.
- W2949875357 creator A5056217482 @default.
- W2949875357 creator A5064129688 @default.
- W2949875357 date "2017-03-06" @default.
- W2949875357 modified "2023-09-27" @default.
- W2949875357 title "On the critical Choquard equation with potential well" @default.
- W2949875357 cites W1525613093 @default.
- W2949875357 cites W1659004305 @default.
- W2949875357 cites W1986416733 @default.
- W2949875357 cites W2011829237 @default.
- W2949875357 cites W2019829221 @default.
- W2949875357 cites W2036620339 @default.
- W2949875357 cites W2038928461 @default.
- W2949875357 cites W2040320111 @default.
- W2949875357 cites W2061504841 @default.
- W2949875357 cites W2078892129 @default.
- W2949875357 cites W2087613667 @default.
- W2949875357 cites W2114287606 @default.
- W2949875357 cites W2115353264 @default.
- W2949875357 cites W2231388638 @default.
- W2949875357 cites W2269296822 @default.
- W2949875357 cites W2338390751 @default.
- W2949875357 cites W2951504055 @default.
- W2949875357 cites W2963353752 @default.
- W2949875357 cites W2963952991 @default.
- W2949875357 cites W3102158631 @default.
- W2949875357 cites W2289214065 @default.
- W2949875357 doi "https://doi.org/10.48550/arxiv.1703.01737" @default.
- W2949875357 hasPublicationYear "2017" @default.
- W2949875357 type Work @default.
- W2949875357 sameAs 2949875357 @default.
- W2949875357 citedByCount "1" @default.
- W2949875357 countsByYear W29498753572017 @default.
- W2949875357 crossrefType "posted-content" @default.
- W2949875357 hasAuthorship W2949875357A5046001568 @default.
- W2949875357 hasAuthorship W2949875357A5056217482 @default.
- W2949875357 hasAuthorship W2949875357A5064129688 @default.
- W2949875357 hasBestOaLocation W29498753571 @default.
- W2949875357 hasConcept C110167270 @default.
- W2949875357 hasConcept C114614502 @default.
- W2949875357 hasConcept C121332964 @default.
- W2949875357 hasConcept C134306372 @default.
- W2949875357 hasConcept C138885662 @default.
- W2949875357 hasConcept C2778113609 @default.
- W2949875357 hasConcept C2779557605 @default.
- W2949875357 hasConcept C2780388253 @default.
- W2949875357 hasConcept C33923547 @default.
- W2949875357 hasConcept C34388435 @default.
- W2949875357 hasConcept C37914503 @default.
- W2949875357 hasConcept C41895202 @default.
- W2949875357 hasConcept C62354387 @default.
- W2949875357 hasConcept C62520636 @default.
- W2949875357 hasConcept C72319582 @default.
- W2949875357 hasConcept C99730327 @default.
- W2949875357 hasConceptScore W2949875357C110167270 @default.
- W2949875357 hasConceptScore W2949875357C114614502 @default.
- W2949875357 hasConceptScore W2949875357C121332964 @default.
- W2949875357 hasConceptScore W2949875357C134306372 @default.
- W2949875357 hasConceptScore W2949875357C138885662 @default.
- W2949875357 hasConceptScore W2949875357C2778113609 @default.
- W2949875357 hasConceptScore W2949875357C2779557605 @default.
- W2949875357 hasConceptScore W2949875357C2780388253 @default.
- W2949875357 hasConceptScore W2949875357C33923547 @default.
- W2949875357 hasConceptScore W2949875357C34388435 @default.
- W2949875357 hasConceptScore W2949875357C37914503 @default.
- W2949875357 hasConceptScore W2949875357C41895202 @default.
- W2949875357 hasConceptScore W2949875357C62354387 @default.
- W2949875357 hasConceptScore W2949875357C62520636 @default.
- W2949875357 hasConceptScore W2949875357C72319582 @default.
- W2949875357 hasConceptScore W2949875357C99730327 @default.
- W2949875357 hasLocation W29498753571 @default.
- W2949875357 hasLocation W29498753572 @default.
- W2949875357 hasOpenAccess W2949875357 @default.
- W2949875357 hasPrimaryLocation W29498753571 @default.
- W2949875357 hasRelatedWork W1553602628 @default.
- W2949875357 hasRelatedWork W1985133310 @default.
- W2949875357 hasRelatedWork W2094435448 @default.
- W2949875357 hasRelatedWork W2331999118 @default.
- W2949875357 hasRelatedWork W2335180738 @default.
- W2949875357 hasRelatedWork W2771030421 @default.
- W2949875357 hasRelatedWork W2955416719 @default.
- W2949875357 hasRelatedWork W4292661092 @default.
- W2949875357 hasRelatedWork W4295690647 @default.
- W2949875357 hasRelatedWork W64040078 @default.
- W2949875357 isParatext "false" @default.
- W2949875357 isRetracted "false" @default.
- W2949875357 magId "2949875357" @default.
- W2949875357 workType "article" @default.