Matches in SemOpenAlex for { <https://semopenalex.org/work/W2011724635> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2011724635 endingPage "243" @default.
- W2011724635 startingPage "234" @default.
- W2011724635 abstract "We consider nonlinear elliptic equations of the form −Δu = g(u) in Ω, u = 0 on ∂Ω, and Hamiltonian-type systems of the form −Δu = g(v) in Ω, −Δv = f(u) in Ω, u = 0 and v = 0 on ∂Ω, where Ω is a bounded domain in ℝ2 and f, g ∈ C(ℝ) are superlinear nonlinearities. In two dimensions the maximal growth (= critical growth) of f and g (such that the problem can be treated variationally) is of exponential type, given by Pohozaev-Trudinger-type inequalities. We discuss existence and nonexistence results related to the critical growth for the equation and the system. A natural framework for such equations and systems is given by Sobolev spaces, which provide in most cases an adequate answer concerning the maximal growth involved. However, we will see that for the system in dimension 2, the Sobolev embeddings are not sufficiently fine to capture the true maximal growths. We will show that working in Lorentz spaces gives better results." @default.
- W2011724635 created "2016-06-24" @default.
- W2011724635 creator A5002857469 @default.
- W2011724635 date "2006-12-01" @default.
- W2011724635 modified "2023-10-18" @default.
- W2011724635 title "On elliptic equations and systems with critical growth in dimension two" @default.
- W2011724635 cites W1964959195 @default.
- W2011724635 cites W1981288703 @default.
- W2011724635 cites W1982357817 @default.
- W2011724635 cites W2017437908 @default.
- W2011724635 cites W2038928461 @default.
- W2011724635 cites W2050181189 @default.
- W2011724635 cites W2055621433 @default.
- W2011724635 cites W2058270372 @default.
- W2011724635 cites W2067198640 @default.
- W2011724635 cites W2073034008 @default.
- W2011724635 cites W2087723935 @default.
- W2011724635 cites W2128702144 @default.
- W2011724635 cites W4234846287 @default.
- W2011724635 cites W4237501463 @default.
- W2011724635 cites W4244689643 @default.
- W2011724635 cites W4244989263 @default.
- W2011724635 cites W4249877492 @default.
- W2011724635 doi "https://doi.org/10.1134/s0081543806040195" @default.
- W2011724635 hasPublicationYear "2006" @default.
- W2011724635 type Work @default.
- W2011724635 sameAs 2011724635 @default.
- W2011724635 citedByCount "5" @default.
- W2011724635 countsByYear W20117246352016 @default.
- W2011724635 countsByYear W20117246352022 @default.
- W2011724635 crossrefType "journal-article" @default.
- W2011724635 hasAuthorship W2011724635A5002857469 @default.
- W2011724635 hasBestOaLocation W20117246352 @default.
- W2011724635 hasConcept C121332964 @default.
- W2011724635 hasConcept C121770821 @default.
- W2011724635 hasConcept C134306372 @default.
- W2011724635 hasConcept C158622935 @default.
- W2011724635 hasConcept C18903297 @default.
- W2011724635 hasConcept C202444582 @default.
- W2011724635 hasConcept C2777299769 @default.
- W2011724635 hasConcept C33676613 @default.
- W2011724635 hasConcept C33923547 @default.
- W2011724635 hasConcept C34388435 @default.
- W2011724635 hasConcept C36503486 @default.
- W2011724635 hasConcept C5667645 @default.
- W2011724635 hasConcept C62520636 @default.
- W2011724635 hasConcept C74650414 @default.
- W2011724635 hasConcept C75235859 @default.
- W2011724635 hasConcept C86803240 @default.
- W2011724635 hasConcept C99730327 @default.
- W2011724635 hasConceptScore W2011724635C121332964 @default.
- W2011724635 hasConceptScore W2011724635C121770821 @default.
- W2011724635 hasConceptScore W2011724635C134306372 @default.
- W2011724635 hasConceptScore W2011724635C158622935 @default.
- W2011724635 hasConceptScore W2011724635C18903297 @default.
- W2011724635 hasConceptScore W2011724635C202444582 @default.
- W2011724635 hasConceptScore W2011724635C2777299769 @default.
- W2011724635 hasConceptScore W2011724635C33676613 @default.
- W2011724635 hasConceptScore W2011724635C33923547 @default.
- W2011724635 hasConceptScore W2011724635C34388435 @default.
- W2011724635 hasConceptScore W2011724635C36503486 @default.
- W2011724635 hasConceptScore W2011724635C5667645 @default.
- W2011724635 hasConceptScore W2011724635C62520636 @default.
- W2011724635 hasConceptScore W2011724635C74650414 @default.
- W2011724635 hasConceptScore W2011724635C75235859 @default.
- W2011724635 hasConceptScore W2011724635C86803240 @default.
- W2011724635 hasConceptScore W2011724635C99730327 @default.
- W2011724635 hasIssue "1" @default.
- W2011724635 hasLocation W20117246351 @default.
- W2011724635 hasLocation W20117246352 @default.
- W2011724635 hasLocation W20117246353 @default.
- W2011724635 hasOpenAccess W2011724635 @default.
- W2011724635 hasPrimaryLocation W20117246351 @default.
- W2011724635 hasRelatedWork W1869870390 @default.
- W2011724635 hasRelatedWork W2164189677 @default.
- W2011724635 hasRelatedWork W2622388323 @default.
- W2011724635 hasRelatedWork W2811033119 @default.
- W2011724635 hasRelatedWork W2950745223 @default.
- W2011724635 hasRelatedWork W3013085049 @default.
- W2011724635 hasRelatedWork W4245643755 @default.
- W2011724635 hasRelatedWork W4296771954 @default.
- W2011724635 hasRelatedWork W4299978068 @default.
- W2011724635 hasRelatedWork W4301407218 @default.
- W2011724635 hasVolume "255" @default.
- W2011724635 isParatext "false" @default.
- W2011724635 isRetracted "false" @default.
- W2011724635 magId "2011724635" @default.
- W2011724635 workType "article" @default.