Matches in SemOpenAlex for { <https://semopenalex.org/work/W4255203103> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W4255203103 endingPage "3555" @default.
- W4255203103 startingPage "3555" @default.
- W4255203103 abstract "We study the semilinear elliptic equation $- Delta u = lambda |u{|^{q - 2}}u + mu |u{|^{p - 2}}u$ in an open bounded domain $Omega subset {mathbb {R}^N}$ with Dirichlet boundary conditions; here $1 < q < 2 < p < {2^ ast }$. Using variational methods we show that for $lambda > 0$ and $mu in mathbb {R}$ arbitrary there exists a sequence $({v_k})$ of solutions with negative energy converging to 0 as $k to infty$. Moreover, for $mu > 0$ and $lambda$ arbitrary there exists a sequence of solutions with unbounded energy. This answers a question of Ambrosetti, Brézis and Cerami. The main ingredient is a new critical point theorem, which guarantees the existence of infinitely many critical values of an even functional in a bounded range. We can also treat strongly indefinite functionals and obtain similar results for first-order Hamiltonian systems." @default.
- W4255203103 created "2022-05-12" @default.
- W4255203103 creator A5006756149 @default.
- W4255203103 creator A5079257153 @default.
- W4255203103 date "1995-11-01" @default.
- W4255203103 modified "2023-09-25" @default.
- W4255203103 title "On an Elliptic Equation with Concave and Convex Nonlinearities" @default.
- W4255203103 doi "https://doi.org/10.2307/2161107" @default.
- W4255203103 hasPublicationYear "1995" @default.
- W4255203103 type Work @default.
- W4255203103 citedByCount "15" @default.
- W4255203103 countsByYear W42552031032013 @default.
- W4255203103 countsByYear W42552031032014 @default.
- W4255203103 countsByYear W42552031032017 @default.
- W4255203103 countsByYear W42552031032018 @default.
- W4255203103 countsByYear W42552031032019 @default.
- W4255203103 countsByYear W42552031032023 @default.
- W4255203103 crossrefType "journal-article" @default.
- W4255203103 hasAuthorship W4255203103A5006756149 @default.
- W4255203103 hasAuthorship W4255203103A5079257153 @default.
- W4255203103 hasBestOaLocation W42552031031 @default.
- W4255203103 hasConcept C105795698 @default.
- W4255203103 hasConcept C110167270 @default.
- W4255203103 hasConcept C112680207 @default.
- W4255203103 hasConcept C114614502 @default.
- W4255203103 hasConcept C121332964 @default.
- W4255203103 hasConcept C126255220 @default.
- W4255203103 hasConcept C130787639 @default.
- W4255203103 hasConcept C134306372 @default.
- W4255203103 hasConcept C158622935 @default.
- W4255203103 hasConcept C179603306 @default.
- W4255203103 hasConcept C186370098 @default.
- W4255203103 hasConcept C196298200 @default.
- W4255203103 hasConcept C2524010 @default.
- W4255203103 hasConcept C2778113609 @default.
- W4255203103 hasConcept C2779557605 @default.
- W4255203103 hasConcept C2779779452 @default.
- W4255203103 hasConcept C33923547 @default.
- W4255203103 hasConcept C34388435 @default.
- W4255203103 hasConcept C36503486 @default.
- W4255203103 hasConcept C62354387 @default.
- W4255203103 hasConcept C62520636 @default.
- W4255203103 hasConceptScore W4255203103C105795698 @default.
- W4255203103 hasConceptScore W4255203103C110167270 @default.
- W4255203103 hasConceptScore W4255203103C112680207 @default.
- W4255203103 hasConceptScore W4255203103C114614502 @default.
- W4255203103 hasConceptScore W4255203103C121332964 @default.
- W4255203103 hasConceptScore W4255203103C126255220 @default.
- W4255203103 hasConceptScore W4255203103C130787639 @default.
- W4255203103 hasConceptScore W4255203103C134306372 @default.
- W4255203103 hasConceptScore W4255203103C158622935 @default.
- W4255203103 hasConceptScore W4255203103C179603306 @default.
- W4255203103 hasConceptScore W4255203103C186370098 @default.
- W4255203103 hasConceptScore W4255203103C196298200 @default.
- W4255203103 hasConceptScore W4255203103C2524010 @default.
- W4255203103 hasConceptScore W4255203103C2778113609 @default.
- W4255203103 hasConceptScore W4255203103C2779557605 @default.
- W4255203103 hasConceptScore W4255203103C2779779452 @default.
- W4255203103 hasConceptScore W4255203103C33923547 @default.
- W4255203103 hasConceptScore W4255203103C34388435 @default.
- W4255203103 hasConceptScore W4255203103C36503486 @default.
- W4255203103 hasConceptScore W4255203103C62354387 @default.
- W4255203103 hasConceptScore W4255203103C62520636 @default.
- W4255203103 hasIssue "11" @default.
- W4255203103 hasLocation W42552031031 @default.
- W4255203103 hasOpenAccess W4255203103 @default.
- W4255203103 hasPrimaryLocation W42552031031 @default.
- W4255203103 hasRelatedWork W1978374724 @default.
- W4255203103 hasRelatedWork W2004351213 @default.
- W4255203103 hasRelatedWork W2276727211 @default.
- W4255203103 hasRelatedWork W2522303672 @default.
- W4255203103 hasRelatedWork W2548192511 @default.
- W4255203103 hasRelatedWork W2548666639 @default.
- W4255203103 hasRelatedWork W2882972021 @default.
- W4255203103 hasRelatedWork W3098055055 @default.
- W4255203103 hasRelatedWork W3120320879 @default.
- W4255203103 hasRelatedWork W4285077762 @default.
- W4255203103 hasVolume "123" @default.
- W4255203103 isParatext "false" @default.
- W4255203103 isRetracted "false" @default.
- W4255203103 workType "article" @default.