Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300709096> ?p ?o ?g. }
Showing items 1 to 50 of
50
with 100 items per page.
- W4300709096 abstract "We examine the H'enon equation $ -Delta u =|x|^alpha u^p$ in $ Omega subset mathbb{R}^N$ with $u=0$ on $ partial Omega$ where $ 0 < alpha$. We show there exists a sequence $ {p_k}_k subset [ frac{N+2}{N-2}, p_{alpha}(N)]$ with $p_1 < p_2 <p_3 < ...$, $ p_k nearrow p_{alpha}(N)$ such that for any $ frac{N+2}{N-2} le p < p_{alpha}(N)$, which avoids $ {p_k}_k $, there exists a positive classical solution of the H'enon equation, provided $ Omega$ is a sufficiently small perturbation of the unit ball. We also examine the Lane-Emden-Fowler equation in the case of an exterior domain; ie. $ -Delta u = u^p$ in $ Omega$, an exterior domain, with $ u=0 $ on $ partial Omega$. We show the existence of $ frac{N+2}{N-2} le p_1 < p_2 < p_3<...$ with $ p_k rightarrow infty$ such that if $ frac{N+2}{N-2} < p$, which avoids ${p_k}_k$, then there exists a positive emph{fast decay} classical solution, provided $ Omega$ is a sufficiently small perturbation of the exterior of the unit ball." @default.
- W4300709096 created "2022-10-04" @default.
- W4300709096 creator A5012783604 @default.
- W4300709096 date "2013-02-02" @default.
- W4300709096 modified "2023-10-18" @default.
- W4300709096 title "Supercritical elliptic problems on a perturbation of the ball" @default.
- W4300709096 doi "https://doi.org/10.48550/arxiv.1302.0364" @default.
- W4300709096 hasPublicationYear "2013" @default.
- W4300709096 type Work @default.
- W4300709096 citedByCount "0" @default.
- W4300709096 crossrefType "posted-content" @default.
- W4300709096 hasAuthorship W4300709096A5012783604 @default.
- W4300709096 hasBestOaLocation W43007090961 @default.
- W4300709096 hasConcept C114614502 @default.
- W4300709096 hasConcept C121332964 @default.
- W4300709096 hasConcept C122041747 @default.
- W4300709096 hasConcept C134306372 @default.
- W4300709096 hasConcept C191948623 @default.
- W4300709096 hasConcept C2779557605 @default.
- W4300709096 hasConcept C33923547 @default.
- W4300709096 hasConcept C36503486 @default.
- W4300709096 hasConcept C37914503 @default.
- W4300709096 hasConcept C62520636 @default.
- W4300709096 hasConceptScore W4300709096C114614502 @default.
- W4300709096 hasConceptScore W4300709096C121332964 @default.
- W4300709096 hasConceptScore W4300709096C122041747 @default.
- W4300709096 hasConceptScore W4300709096C134306372 @default.
- W4300709096 hasConceptScore W4300709096C191948623 @default.
- W4300709096 hasConceptScore W4300709096C2779557605 @default.
- W4300709096 hasConceptScore W4300709096C33923547 @default.
- W4300709096 hasConceptScore W4300709096C36503486 @default.
- W4300709096 hasConceptScore W4300709096C37914503 @default.
- W4300709096 hasConceptScore W4300709096C62520636 @default.
- W4300709096 hasLocation W43007090961 @default.
- W4300709096 hasLocation W43007090962 @default.
- W4300709096 hasOpenAccess W4300709096 @default.
- W4300709096 hasPrimaryLocation W43007090961 @default.
- W4300709096 hasRelatedWork W2048403683 @default.
- W4300709096 hasRelatedWork W2387072865 @default.
- W4300709096 hasRelatedWork W2734192830 @default.
- W4300709096 hasRelatedWork W2804455714 @default.
- W4300709096 hasRelatedWork W2989846825 @default.
- W4300709096 hasRelatedWork W3046438935 @default.
- W4300709096 hasRelatedWork W4205377127 @default.
- W4300709096 hasRelatedWork W4223955761 @default.
- W4300709096 hasRelatedWork W238609530 @default.
- W4300709096 hasRelatedWork W3016395638 @default.
- W4300709096 isParatext "false" @default.
- W4300709096 isRetracted "false" @default.
- W4300709096 workType "article" @default.