Matches in SemOpenAlex for { <https://semopenalex.org/work/W1594542947> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W1594542947 abstract "We consider the Hardy-Henon system $-Delta u =|x|^a v^p$, $-Delta v =|x|^b u^q$ with $p,q>0$ and $a,bin {mathbb R}$ and we are concerned in particular with the Liouville property, i.e. the nonexistence of positive solutions in the whole space ${mathbb R}^N$. In view of known results, it is a natural conjecture that this property should be true if and only if $(N+a)/(p+1)+$ $(N+b)/(q+1)>N-2$. In this paper, we prove the conjecture for dimension N=3 in the case of bounded solutions and in dimensions $Nle 4$ when $a,ble 0$, among other partial nonexistence results. As far as we know, this is the first optimal Liouville type result for the Hardy-Henon system. Next, as applications, we give results on singularity and decay estimates as well as a priori bounds of positive solutions." @default.
- W1594542947 created "2016-06-24" @default.
- W1594542947 creator A5081260461 @default.
- W1594542947 date "2011-08-05" @default.
- W1594542947 modified "2023-09-27" @default.
- W1594542947 title "Liouville-type theorems and bounds of solutions for Hardy-H'enon elliptic systems" @default.
- W1594542947 cites W1568515496 @default.
- W1594542947 cites W1964720696 @default.
- W1594542947 cites W1971422458 @default.
- W1594542947 cites W1986063623 @default.
- W1594542947 cites W1989384019 @default.
- W1594542947 cites W2043404390 @default.
- W1594542947 cites W2049361882 @default.
- W1594542947 cites W2056878197 @default.
- W1594542947 cites W2073043804 @default.
- W1594542947 cites W2075709627 @default.
- W1594542947 cites W2088616362 @default.
- W1594542947 cites W2107614808 @default.
- W1594542947 cites W2139624116 @default.
- W1594542947 cites W2598744044 @default.
- W1594542947 hasPublicationYear "2011" @default.
- W1594542947 type Work @default.
- W1594542947 sameAs 1594542947 @default.
- W1594542947 citedByCount "2" @default.
- W1594542947 countsByYear W15945429472014 @default.
- W1594542947 crossrefType "posted-content" @default.
- W1594542947 hasAuthorship W1594542947A5081260461 @default.
- W1594542947 hasConcept C111472728 @default.
- W1594542947 hasConcept C111919701 @default.
- W1594542947 hasConcept C114614502 @default.
- W1594542947 hasConcept C134306372 @default.
- W1594542947 hasConcept C138885662 @default.
- W1594542947 hasConcept C16171025 @default.
- W1594542947 hasConcept C18903297 @default.
- W1594542947 hasConcept C189950617 @default.
- W1594542947 hasConcept C202444582 @default.
- W1594542947 hasConcept C2777299769 @default.
- W1594542947 hasConcept C2778572836 @default.
- W1594542947 hasConcept C2780990831 @default.
- W1594542947 hasConcept C33676613 @default.
- W1594542947 hasConcept C33923547 @default.
- W1594542947 hasConcept C34388435 @default.
- W1594542947 hasConcept C41008148 @default.
- W1594542947 hasConcept C42178598 @default.
- W1594542947 hasConcept C86803240 @default.
- W1594542947 hasConceptScore W1594542947C111472728 @default.
- W1594542947 hasConceptScore W1594542947C111919701 @default.
- W1594542947 hasConceptScore W1594542947C114614502 @default.
- W1594542947 hasConceptScore W1594542947C134306372 @default.
- W1594542947 hasConceptScore W1594542947C138885662 @default.
- W1594542947 hasConceptScore W1594542947C16171025 @default.
- W1594542947 hasConceptScore W1594542947C18903297 @default.
- W1594542947 hasConceptScore W1594542947C189950617 @default.
- W1594542947 hasConceptScore W1594542947C202444582 @default.
- W1594542947 hasConceptScore W1594542947C2777299769 @default.
- W1594542947 hasConceptScore W1594542947C2778572836 @default.
- W1594542947 hasConceptScore W1594542947C2780990831 @default.
- W1594542947 hasConceptScore W1594542947C33676613 @default.
- W1594542947 hasConceptScore W1594542947C33923547 @default.
- W1594542947 hasConceptScore W1594542947C34388435 @default.
- W1594542947 hasConceptScore W1594542947C41008148 @default.
- W1594542947 hasConceptScore W1594542947C42178598 @default.
- W1594542947 hasConceptScore W1594542947C86803240 @default.
- W1594542947 hasLocation W15945429471 @default.
- W1594542947 hasOpenAccess W1594542947 @default.
- W1594542947 hasPrimaryLocation W15945429471 @default.
- W1594542947 hasRelatedWork W1523487694 @default.
- W1594542947 hasRelatedWork W1524757290 @default.
- W1594542947 hasRelatedWork W174613478 @default.
- W1594542947 hasRelatedWork W1976659984 @default.
- W1594542947 hasRelatedWork W1986063623 @default.
- W1594542947 hasRelatedWork W1989384019 @default.
- W1594542947 hasRelatedWork W2032636893 @default.
- W1594542947 hasRelatedWork W2040009945 @default.
- W1594542947 hasRelatedWork W2056878197 @default.
- W1594542947 hasRelatedWork W2081083193 @default.
- W1594542947 hasRelatedWork W2088616362 @default.
- W1594542947 hasRelatedWork W2169871237 @default.
- W1594542947 hasRelatedWork W2272352903 @default.
- W1594542947 hasRelatedWork W2950797546 @default.
- W1594542947 hasRelatedWork W2963636041 @default.
- W1594542947 hasRelatedWork W2964047992 @default.
- W1594542947 hasRelatedWork W3048788529 @default.
- W1594542947 hasRelatedWork W3099717690 @default.
- W1594542947 hasRelatedWork W3198107027 @default.
- W1594542947 hasRelatedWork W5630490 @default.
- W1594542947 isParatext "false" @default.
- W1594542947 isRetracted "false" @default.
- W1594542947 magId "1594542947" @default.
- W1594542947 workType "article" @default.