Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949271825> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2949271825 abstract "In the present paper, we consider the following singularly perturbed problem: begin{equation*} left{ begin{array}{ll} -varepsilon^2triangle u+V(x)u=varepsilon^{-alpha}(I_{alpha}*F(u))f(u), & xin R^N; uin H^1(R^N), end{array} right. end{equation*} where $varepsilon>0$ is a parameter, $Nge 3$, $alphain (0, N)$, $F(t)=int_{0}^{t}f(s)mathrm{d}s$ and $I_{alpha}: R^Nrightarrow R$ is the Riesz potential. By introducing some new tricks, we prove that the above problem admits a semiclassical ground state solution ($varepsilonin (0,varepsilon_0)$) and a ground state solution ($varepsilon=1$) under the general Berestycki-Lions assumptions on the nonlinearity $f$ which are almost necessary, as well as some weak assumptions on the potential $V$. When $varepsilon=1$, our results generalize and improve the ones in [V. Moroz, J. Van Schaftingen, T. Am. Math. Soc. 367 (2015) 6557-6579] and [H. Berestycki, P.L. Lions, Arch. Rational Mech. Anal. 82 (1983) 313-345] and some other related literature. In particular, our approach is useful for many similar problems." @default.
- W2949271825 created "2019-06-27" @default.
- W2949271825 creator A5069174584 @default.
- W2949271825 creator A5074726396 @default.
- W2949271825 date "2019-03-22" @default.
- W2949271825 modified "2023-09-23" @default.
- W2949271825 title "Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions" @default.
- W2949271825 cites W137582528 @default.
- W2949271825 cites W1481897077 @default.
- W2949271825 cites W1600957312 @default.
- W2949271825 cites W1659004305 @default.
- W2949271825 cites W1982258462 @default.
- W2949271825 cites W1995864421 @default.
- W2949271825 cites W2004789850 @default.
- W2949271825 cites W2030534564 @default.
- W2949271825 cites W2032721195 @default.
- W2949271825 cites W2034024674 @default.
- W2949271825 cites W2043812901 @default.
- W2949271825 cites W2053017523 @default.
- W2949271825 cites W2115353264 @default.
- W2949271825 cites W2464714185 @default.
- W2949271825 cites W2509548217 @default.
- W2949271825 cites W2531304840 @default.
- W2949271825 cites W2554892503 @default.
- W2949271825 cites W2621594934 @default.
- W2949271825 cites W2735383720 @default.
- W2949271825 cites W2787489911 @default.
- W2949271825 cites W2791969301 @default.
- W2949271825 cites W2795939601 @default.
- W2949271825 cites W2807626978 @default.
- W2949271825 cites W2808951794 @default.
- W2949271825 cites W2888522419 @default.
- W2949271825 cites W2890197317 @default.
- W2949271825 cites W2964323480 @default.
- W2949271825 cites W3021196877 @default.
- W2949271825 cites W3101112497 @default.
- W2949271825 cites W423201015 @default.
- W2949271825 cites W847211900 @default.
- W2949271825 doi "https://doi.org/10.48550/arxiv.1903.10347" @default.
- W2949271825 hasPublicationYear "2019" @default.
- W2949271825 type Work @default.
- W2949271825 sameAs 2949271825 @default.
- W2949271825 citedByCount "0" @default.
- W2949271825 crossrefType "posted-content" @default.
- W2949271825 hasAuthorship W2949271825A5069174584 @default.
- W2949271825 hasAuthorship W2949271825A5074726396 @default.
- W2949271825 hasBestOaLocation W29492718251 @default.
- W2949271825 hasConcept C11413529 @default.
- W2949271825 hasConcept C114614502 @default.
- W2949271825 hasConcept C121332964 @default.
- W2949271825 hasConcept C158622935 @default.
- W2949271825 hasConcept C33923547 @default.
- W2949271825 hasConcept C37914503 @default.
- W2949271825 hasConcept C48103436 @default.
- W2949271825 hasConcept C535169671 @default.
- W2949271825 hasConcept C62520636 @default.
- W2949271825 hasConcept C69523127 @default.
- W2949271825 hasConcept C84114770 @default.
- W2949271825 hasConceptScore W2949271825C11413529 @default.
- W2949271825 hasConceptScore W2949271825C114614502 @default.
- W2949271825 hasConceptScore W2949271825C121332964 @default.
- W2949271825 hasConceptScore W2949271825C158622935 @default.
- W2949271825 hasConceptScore W2949271825C33923547 @default.
- W2949271825 hasConceptScore W2949271825C37914503 @default.
- W2949271825 hasConceptScore W2949271825C48103436 @default.
- W2949271825 hasConceptScore W2949271825C535169671 @default.
- W2949271825 hasConceptScore W2949271825C62520636 @default.
- W2949271825 hasConceptScore W2949271825C69523127 @default.
- W2949271825 hasConceptScore W2949271825C84114770 @default.
- W2949271825 hasLocation W29492718251 @default.
- W2949271825 hasOpenAccess W2949271825 @default.
- W2949271825 hasPrimaryLocation W29492718251 @default.
- W2949271825 hasRelatedWork W1968993316 @default.
- W2949271825 hasRelatedWork W1998589980 @default.
- W2949271825 hasRelatedWork W2047593185 @default.
- W2949271825 hasRelatedWork W2057573003 @default.
- W2949271825 hasRelatedWork W2070672688 @default.
- W2949271825 hasRelatedWork W2079608043 @default.
- W2949271825 hasRelatedWork W2083117642 @default.
- W2949271825 hasRelatedWork W2088815529 @default.
- W2949271825 hasRelatedWork W2737440558 @default.
- W2949271825 hasRelatedWork W2970163378 @default.
- W2949271825 isParatext "false" @default.
- W2949271825 isRetracted "false" @default.
- W2949271825 magId "2949271825" @default.
- W2949271825 workType "article" @default.