Matches in SemOpenAlex for { <https://semopenalex.org/work/W2077482011> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2077482011 endingPage "372" @default.
- W2077482011 startingPage "343" @default.
- W2077482011 abstract "The existence of a (unique) solution of the second-order semilinear elliptic equation $$sumlimits_{i,j = 0}^n {a_{ij} (x)u_{x_i x_j } + f(nabla u,u,x) = 0}$$ withx=(x 0,x 1,⋯,x n )∃(s 0, ∞)× Ω′, for a bounded domainΩ′, together with the additional conditions $$begin{array}{*{20}c} {u(x) = 0for(x_1 ,x_2 ,...,x_n ) in partial Omega '} {u(x) = varphi (x_1 ,x_2 ,...,x_n )forx_0 = s_0 } {|u(x)|globallybounded} end{array}$$ is shown to be a well-posed problem under some sign and growth restrictions off and its partial derivatives. It can be seen as an initial value problem, with initial valueϕ, in the spaceC 0 0 $$(overline {Omega '} )$$ and satisfying the strong order-preserving property. In the case thata ij andf do not depend onx 0 or are periodic inx 0, it is shown that the corresponding dynamical system has a compact global attractor. Also, conditions onf are given under which all the solutions tend to zero asx 0 tends to infinity. Proofs are strongly based on maximum and comparison techniques." @default.
- W2077482011 created "2016-06-24" @default.
- W2077482011 creator A5040589484 @default.
- W2077482011 creator A5046306936 @default.
- W2077482011 creator A5052837575 @default.
- W2077482011 date "1997-07-01" @default.
- W2077482011 modified "2023-10-18" @default.
- W2077482011 title "Bounded solutions of some nonlinear elliptic equations in cylindrical domains" @default.
- W2077482011 cites W2003367057 @default.
- W2077482011 cites W2016701934 @default.
- W2077482011 cites W2057337333 @default.
- W2077482011 cites W4292360407 @default.
- W2077482011 cites W7856492 @default.
- W2077482011 doi "https://doi.org/10.1007/bf02227486" @default.
- W2077482011 hasPublicationYear "1997" @default.
- W2077482011 type Work @default.
- W2077482011 sameAs 2077482011 @default.
- W2077482011 citedByCount "8" @default.
- W2077482011 countsByYear W20774820112014 @default.
- W2077482011 countsByYear W20774820112019 @default.
- W2077482011 crossrefType "journal-article" @default.
- W2077482011 hasAuthorship W2077482011A5040589484 @default.
- W2077482011 hasAuthorship W2077482011A5046306936 @default.
- W2077482011 hasAuthorship W2077482011A5052837575 @default.
- W2077482011 hasBestOaLocation W20774820112 @default.
- W2077482011 hasConcept C10138342 @default.
- W2077482011 hasConcept C114614502 @default.
- W2077482011 hasConcept C121332964 @default.
- W2077482011 hasConcept C134306372 @default.
- W2077482011 hasConcept C139676723 @default.
- W2077482011 hasConcept C158622935 @default.
- W2077482011 hasConcept C162324750 @default.
- W2077482011 hasConcept C164380108 @default.
- W2077482011 hasConcept C179603306 @default.
- W2077482011 hasConcept C182306322 @default.
- W2077482011 hasConcept C202444582 @default.
- W2077482011 hasConcept C2779557605 @default.
- W2077482011 hasConcept C33923547 @default.
- W2077482011 hasConcept C34388435 @default.
- W2077482011 hasConcept C36503486 @default.
- W2077482011 hasConcept C51544822 @default.
- W2077482011 hasConcept C54207081 @default.
- W2077482011 hasConcept C62520636 @default.
- W2077482011 hasConcept C7321624 @default.
- W2077482011 hasConcept C78045399 @default.
- W2077482011 hasConcept C93779851 @default.
- W2077482011 hasConceptScore W2077482011C10138342 @default.
- W2077482011 hasConceptScore W2077482011C114614502 @default.
- W2077482011 hasConceptScore W2077482011C121332964 @default.
- W2077482011 hasConceptScore W2077482011C134306372 @default.
- W2077482011 hasConceptScore W2077482011C139676723 @default.
- W2077482011 hasConceptScore W2077482011C158622935 @default.
- W2077482011 hasConceptScore W2077482011C162324750 @default.
- W2077482011 hasConceptScore W2077482011C164380108 @default.
- W2077482011 hasConceptScore W2077482011C179603306 @default.
- W2077482011 hasConceptScore W2077482011C182306322 @default.
- W2077482011 hasConceptScore W2077482011C202444582 @default.
- W2077482011 hasConceptScore W2077482011C2779557605 @default.
- W2077482011 hasConceptScore W2077482011C33923547 @default.
- W2077482011 hasConceptScore W2077482011C34388435 @default.
- W2077482011 hasConceptScore W2077482011C36503486 @default.
- W2077482011 hasConceptScore W2077482011C51544822 @default.
- W2077482011 hasConceptScore W2077482011C54207081 @default.
- W2077482011 hasConceptScore W2077482011C62520636 @default.
- W2077482011 hasConceptScore W2077482011C7321624 @default.
- W2077482011 hasConceptScore W2077482011C78045399 @default.
- W2077482011 hasConceptScore W2077482011C93779851 @default.
- W2077482011 hasIssue "3" @default.
- W2077482011 hasLocation W20774820111 @default.
- W2077482011 hasLocation W20774820112 @default.
- W2077482011 hasOpenAccess W2077482011 @default.
- W2077482011 hasPrimaryLocation W20774820111 @default.
- W2077482011 hasRelatedWork W2024010274 @default.
- W2077482011 hasRelatedWork W2030286963 @default.
- W2077482011 hasRelatedWork W2094628705 @default.
- W2077482011 hasRelatedWork W2333519056 @default.
- W2077482011 hasRelatedWork W2619140167 @default.
- W2077482011 hasRelatedWork W2802414326 @default.
- W2077482011 hasRelatedWork W2949135996 @default.
- W2077482011 hasRelatedWork W2955775089 @default.
- W2077482011 hasRelatedWork W3120320879 @default.
- W2077482011 hasRelatedWork W3175264703 @default.
- W2077482011 hasVolume "9" @default.
- W2077482011 isParatext "false" @default.
- W2077482011 isRetracted "false" @default.
- W2077482011 magId "2077482011" @default.
- W2077482011 workType "article" @default.