Matches in SemOpenAlex for { <https://semopenalex.org/work/W2036049076> ?p ?o ?g. }
- W2036049076 endingPage "106" @default.
- W2036049076 startingPage "83" @default.
- W2036049076 abstract "We consider the nonlinear elliptic system $$left { begin{aligned} -&Delta u +u - u^3 -beta v^2u = 0quad rm{in}, mathbb B, -&Delta v +v - v^3 -beta u^2v = 0quad rm{in}, mathbb B, &u,v > 0 quad rm{in}, mathbb B,quad u=v=0 quad rm{on}, partial mathbb B, end{aligned} right.$$ where $$Nleqq 3$$ and $$mathbb B subset mathbb {R}^N$$ is the unit ball. We show that, for every $$beta leqq -1$$ and $$k in mathbb N$$ , the above problem admits a radially symmetric solution (u β , v β ) such that u β − v β changes sign precisely k times in the radial variable. Furthermore, as $$beta to -infty$$ , after passing to a subsequence, u β → w + and v β → w − uniformly in $$mathbb B$$ , where w = w +− w − has precisely k nodal domains and is a radially symmetric solution of the scalar equation Δw − w + w 3 = 0 in $$mathbb B$$ , w = 0 on $$partial mathbb B$$ . Within a Hartree–Fock approximation, the result provides a theoretical indication of phase separation into many nodal domains for Bose–Einstein double condensates with strong repulsion." @default.
- W2036049076 created "2016-06-24" @default.
- W2036049076 creator A5057351789 @default.
- W2036049076 creator A5062208839 @default.
- W2036049076 date "2008-03-19" @default.
- W2036049076 modified "2023-10-13" @default.
- W2036049076 title "Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations" @default.
- W2036049076 cites W1500925617 @default.
- W2036049076 cites W1819371724 @default.
- W2036049076 cites W1866311589 @default.
- W2036049076 cites W1969114948 @default.
- W2036049076 cites W1971275429 @default.
- W2036049076 cites W1971583997 @default.
- W2036049076 cites W1972740052 @default.
- W2036049076 cites W1976808912 @default.
- W2036049076 cites W1982285632 @default.
- W2036049076 cites W1987425400 @default.
- W2036049076 cites W1992891861 @default.
- W2036049076 cites W1993725646 @default.
- W2036049076 cites W1994696668 @default.
- W2036049076 cites W2001996750 @default.
- W2036049076 cites W2013921840 @default.
- W2036049076 cites W2052167450 @default.
- W2036049076 cites W2057010378 @default.
- W2036049076 cites W2062270670 @default.
- W2036049076 cites W2065122068 @default.
- W2036049076 cites W2075585807 @default.
- W2036049076 cites W2078453497 @default.
- W2036049076 cites W2078701325 @default.
- W2036049076 cites W2084217877 @default.
- W2036049076 cites W2090608379 @default.
- W2036049076 cites W2090631052 @default.
- W2036049076 cites W2093716837 @default.
- W2036049076 cites W2094732357 @default.
- W2036049076 cites W2116937824 @default.
- W2036049076 cites W2117476555 @default.
- W2036049076 cites W2147937105 @default.
- W2036049076 cites W2166255736 @default.
- W2036049076 cites W2371778577 @default.
- W2036049076 cites W4232306901 @default.
- W2036049076 cites W4236753913 @default.
- W2036049076 cites W4241912297 @default.
- W2036049076 cites W943276593 @default.
- W2036049076 doi "https://doi.org/10.1007/s00205-008-0121-9" @default.
- W2036049076 hasPublicationYear "2008" @default.
- W2036049076 type Work @default.
- W2036049076 sameAs 2036049076 @default.
- W2036049076 citedByCount "187" @default.
- W2036049076 countsByYear W20360490762012 @default.
- W2036049076 countsByYear W20360490762013 @default.
- W2036049076 countsByYear W20360490762014 @default.
- W2036049076 countsByYear W20360490762015 @default.
- W2036049076 countsByYear W20360490762016 @default.
- W2036049076 countsByYear W20360490762017 @default.
- W2036049076 countsByYear W20360490762018 @default.
- W2036049076 countsByYear W20360490762019 @default.
- W2036049076 countsByYear W20360490762020 @default.
- W2036049076 countsByYear W20360490762021 @default.
- W2036049076 countsByYear W20360490762022 @default.
- W2036049076 countsByYear W20360490762023 @default.
- W2036049076 crossrefType "journal-article" @default.
- W2036049076 hasAuthorship W2036049076A5057351789 @default.
- W2036049076 hasAuthorship W2036049076A5062208839 @default.
- W2036049076 hasBestOaLocation W20360490762 @default.
- W2036049076 hasConcept C114614502 @default.
- W2036049076 hasConcept C121332964 @default.
- W2036049076 hasConcept C122041747 @default.
- W2036049076 hasConcept C134306372 @default.
- W2036049076 hasConcept C137877099 @default.
- W2036049076 hasConcept C191948623 @default.
- W2036049076 hasConcept C2524010 @default.
- W2036049076 hasConcept C33923547 @default.
- W2036049076 hasConcept C34388435 @default.
- W2036049076 hasConcept C37914503 @default.
- W2036049076 hasConcept C57691317 @default.
- W2036049076 hasConceptScore W2036049076C114614502 @default.
- W2036049076 hasConceptScore W2036049076C121332964 @default.
- W2036049076 hasConceptScore W2036049076C122041747 @default.
- W2036049076 hasConceptScore W2036049076C134306372 @default.
- W2036049076 hasConceptScore W2036049076C137877099 @default.
- W2036049076 hasConceptScore W2036049076C191948623 @default.
- W2036049076 hasConceptScore W2036049076C2524010 @default.
- W2036049076 hasConceptScore W2036049076C33923547 @default.
- W2036049076 hasConceptScore W2036049076C34388435 @default.
- W2036049076 hasConceptScore W2036049076C37914503 @default.
- W2036049076 hasConceptScore W2036049076C57691317 @default.
- W2036049076 hasIssue "1" @default.
- W2036049076 hasLocation W20360490761 @default.
- W2036049076 hasLocation W20360490762 @default.
- W2036049076 hasOpenAccess W2036049076 @default.
- W2036049076 hasPrimaryLocation W20360490761 @default.
- W2036049076 hasRelatedWork W1970843405 @default.
- W2036049076 hasRelatedWork W2045030583 @default.
- W2036049076 hasRelatedWork W2051910079 @default.
- W2036049076 hasRelatedWork W2056977145 @default.
- W2036049076 hasRelatedWork W2067097031 @default.
- W2036049076 hasRelatedWork W2331934617 @default.
- W2036049076 hasRelatedWork W2949889016 @default.