Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100597327> ?p ?o ?g. }
- W3100597327 endingPage "172" @default.
- W3100597327 startingPage "155" @default.
- W3100597327 abstract "We review and extend several recent results on the existence of the ground state for the nonlinear Schrodinger (NLS) equation on a metric graph. By ground state we mean a minimizer of the NLS energy functional constrained to the manifold of fixed $L^2$-norm. In the energy functional we allow for the presence of a potential term, of delta-interactions in the vertices of the graph, and of a power-type focusing nonlinear term. We discuss both subcritical and critical nonlinearity. Under general assumptions on the graph and the potential, we prove that a ground state exists for sufficiently small mass, whenever the constrained infimum of the quadratic part of the energy functional is strictly negative." @default.
- W3100597327 created "2020-11-23" @default.
- W3100597327 creator A5047568596 @default.
- W3100597327 date "2018-01-01" @default.
- W3100597327 modified "2023-09-27" @default.
- W3100597327 title "Existence of the ground state for the NLS with potential on graphs" @default.
- W3100597327 cites W1546072782 @default.
- W3100597327 cites W1672117814 @default.
- W3100597327 cites W1697122214 @default.
- W3100597327 cites W1847021993 @default.
- W3100597327 cites W2028119371 @default.
- W3100597327 cites W2039722047 @default.
- W3100597327 cites W2056660684 @default.
- W3100597327 cites W2073072725 @default.
- W3100597327 cites W2080251351 @default.
- W3100597327 cites W2089504416 @default.
- W3100597327 cites W2091521949 @default.
- W3100597327 cites W2115336412 @default.
- W3100597327 cites W2154950245 @default.
- W3100597327 cites W2209327664 @default.
- W3100597327 cites W2297951637 @default.
- W3100597327 cites W2313178577 @default.
- W3100597327 cites W2314471196 @default.
- W3100597327 cites W2503852128 @default.
- W3100597327 cites W2524687185 @default.
- W3100597327 cites W2556710322 @default.
- W3100597327 cites W2590215597 @default.
- W3100597327 cites W2962754924 @default.
- W3100597327 cites W2963109242 @default.
- W3100597327 cites W2963441306 @default.
- W3100597327 cites W2964157554 @default.
- W3100597327 cites W2964329489 @default.
- W3100597327 cites W3099432766 @default.
- W3100597327 cites W3100006781 @default.
- W3100597327 cites W3103138737 @default.
- W3100597327 cites W3105083672 @default.
- W3100597327 cites W596944269 @default.
- W3100597327 cites W619542653 @default.
- W3100597327 cites W83967705 @default.
- W3100597327 cites W84701144 @default.
- W3100597327 doi "https://doi.org/10.1090/conm/717/14446" @default.
- W3100597327 hasPublicationYear "2018" @default.
- W3100597327 type Work @default.
- W3100597327 sameAs 3100597327 @default.
- W3100597327 citedByCount "6" @default.
- W3100597327 countsByYear W31005973272018 @default.
- W3100597327 countsByYear W31005973272019 @default.
- W3100597327 countsByYear W31005973272020 @default.
- W3100597327 countsByYear W31005973272021 @default.
- W3100597327 countsByYear W31005973272023 @default.
- W3100597327 crossrefType "other" @default.
- W3100597327 hasAuthorship W3100597327A5047568596 @default.
- W3100597327 hasBestOaLocation W31005973271 @default.
- W3100597327 hasConcept C118615104 @default.
- W3100597327 hasConcept C121332964 @default.
- W3100597327 hasConcept C129844170 @default.
- W3100597327 hasConcept C132525143 @default.
- W3100597327 hasConcept C134306372 @default.
- W3100597327 hasConcept C158622935 @default.
- W3100597327 hasConcept C17744445 @default.
- W3100597327 hasConcept C18903297 @default.
- W3100597327 hasConcept C191640071 @default.
- W3100597327 hasConcept C191795146 @default.
- W3100597327 hasConcept C199539241 @default.
- W3100597327 hasConcept C202444582 @default.
- W3100597327 hasConcept C2524010 @default.
- W3100597327 hasConcept C2777299769 @default.
- W3100597327 hasConcept C33923547 @default.
- W3100597327 hasConcept C61797465 @default.
- W3100597327 hasConcept C62520636 @default.
- W3100597327 hasConcept C69523127 @default.
- W3100597327 hasConcept C86803240 @default.
- W3100597327 hasConcept C95611797 @default.
- W3100597327 hasConceptScore W3100597327C118615104 @default.
- W3100597327 hasConceptScore W3100597327C121332964 @default.
- W3100597327 hasConceptScore W3100597327C129844170 @default.
- W3100597327 hasConceptScore W3100597327C132525143 @default.
- W3100597327 hasConceptScore W3100597327C134306372 @default.
- W3100597327 hasConceptScore W3100597327C158622935 @default.
- W3100597327 hasConceptScore W3100597327C17744445 @default.
- W3100597327 hasConceptScore W3100597327C18903297 @default.
- W3100597327 hasConceptScore W3100597327C191640071 @default.
- W3100597327 hasConceptScore W3100597327C191795146 @default.
- W3100597327 hasConceptScore W3100597327C199539241 @default.
- W3100597327 hasConceptScore W3100597327C202444582 @default.
- W3100597327 hasConceptScore W3100597327C2524010 @default.
- W3100597327 hasConceptScore W3100597327C2777299769 @default.
- W3100597327 hasConceptScore W3100597327C33923547 @default.
- W3100597327 hasConceptScore W3100597327C61797465 @default.
- W3100597327 hasConceptScore W3100597327C62520636 @default.
- W3100597327 hasConceptScore W3100597327C69523127 @default.
- W3100597327 hasConceptScore W3100597327C86803240 @default.
- W3100597327 hasConceptScore W3100597327C95611797 @default.
- W3100597327 hasLocation W31005973271 @default.
- W3100597327 hasLocation W31005973272 @default.
- W3100597327 hasOpenAccess W3100597327 @default.
- W3100597327 hasPrimaryLocation W31005973271 @default.
- W3100597327 hasRelatedWork W2004427275 @default.