Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964188287> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2964188287 endingPage "1263" @default.
- W2964188287 startingPage "1241" @default.
- W2964188287 abstract "Abstract In this paper, we investigate existence and non-existence of a nontrivial solution to the pseudo-relativistic nonlinear Schrödinger equation $$left( sqrt{-c^2Delta + m^2 c^4}-mc^2right) u + mu u = vert u vert^{p-1}uquad {rm in}~{open R}^n~(n ges 2) $$ involving an H 1/2 -critical/supercritical power-type nonlinearity, that is, p ⩾ (( n + 1)/( n − 1)). We prove that in the non-relativistic regime, there exists a nontrivial solution provided that the nonlinearity is H 1/2 -critical/supercritical but it is H 1 -subcritical. On the other hand, we also show that there is no nontrivial bounded solution either (i) if the nonlinearity is H 1/2 -critical/supercritical in the ultra-relativistic regime or (ii) if the nonlinearity is H 1 -critical/supercritical in all cases." @default.
- W2964188287 created "2019-07-30" @default.
- W2964188287 creator A5019321903 @default.
- W2964188287 creator A5058894695 @default.
- W2964188287 creator A5087879083 @default.
- W2964188287 date "2019-01-30" @default.
- W2964188287 modified "2023-10-18" @default.
- W2964188287 title "On critical and supercritical pseudo-relativistic nonlinear Schrödinger equations" @default.
- W2964188287 cites W1551606417 @default.
- W2964188287 cites W1695100291 @default.
- W2964188287 cites W1744306136 @default.
- W2964188287 cites W1975040257 @default.
- W2964188287 cites W1977212986 @default.
- W2964188287 cites W1992583644 @default.
- W2964188287 cites W1994971565 @default.
- W2964188287 cites W2023023051 @default.
- W2964188287 cites W2029100775 @default.
- W2964188287 cites W2051195713 @default.
- W2964188287 cites W2071132730 @default.
- W2964188287 cites W2963131777 @default.
- W2964188287 cites W2964050004 @default.
- W2964188287 doi "https://doi.org/10.1017/prm.2018.114" @default.
- W2964188287 hasPublicationYear "2019" @default.
- W2964188287 type Work @default.
- W2964188287 sameAs 2964188287 @default.
- W2964188287 citedByCount "1" @default.
- W2964188287 countsByYear W29641882872022 @default.
- W2964188287 crossrefType "journal-article" @default.
- W2964188287 hasAuthorship W2964188287A5019321903 @default.
- W2964188287 hasAuthorship W2964188287A5058894695 @default.
- W2964188287 hasAuthorship W2964188287A5087879083 @default.
- W2964188287 hasBestOaLocation W29641882872 @default.
- W2964188287 hasConcept C118419359 @default.
- W2964188287 hasConcept C121332964 @default.
- W2964188287 hasConcept C134306372 @default.
- W2964188287 hasConcept C158622935 @default.
- W2964188287 hasConcept C33923547 @default.
- W2964188287 hasConcept C34388435 @default.
- W2964188287 hasConcept C37914503 @default.
- W2964188287 hasConcept C62520636 @default.
- W2964188287 hasConcept C97355855 @default.
- W2964188287 hasConceptScore W2964188287C118419359 @default.
- W2964188287 hasConceptScore W2964188287C121332964 @default.
- W2964188287 hasConceptScore W2964188287C134306372 @default.
- W2964188287 hasConceptScore W2964188287C158622935 @default.
- W2964188287 hasConceptScore W2964188287C33923547 @default.
- W2964188287 hasConceptScore W2964188287C34388435 @default.
- W2964188287 hasConceptScore W2964188287C37914503 @default.
- W2964188287 hasConceptScore W2964188287C62520636 @default.
- W2964188287 hasConceptScore W2964188287C97355855 @default.
- W2964188287 hasIssue "3" @default.
- W2964188287 hasLocation W29641882871 @default.
- W2964188287 hasLocation W29641882872 @default.
- W2964188287 hasOpenAccess W2964188287 @default.
- W2964188287 hasPrimaryLocation W29641882871 @default.
- W2964188287 hasRelatedWork W1702992871 @default.
- W2964188287 hasRelatedWork W1821707107 @default.
- W2964188287 hasRelatedWork W2003637101 @default.
- W2964188287 hasRelatedWork W2091788064 @default.
- W2964188287 hasRelatedWork W2128033569 @default.
- W2964188287 hasRelatedWork W2781116688 @default.
- W2964188287 hasRelatedWork W3033558109 @default.
- W2964188287 hasRelatedWork W3102427995 @default.
- W2964188287 hasRelatedWork W3103234735 @default.
- W2964188287 hasRelatedWork W4307053788 @default.
- W2964188287 hasVolume "150" @default.
- W2964188287 isParatext "false" @default.
- W2964188287 isRetracted "false" @default.
- W2964188287 magId "2964188287" @default.
- W2964188287 workType "article" @default.