Equivalence between uniform $L^{2^\star}(\Omega)$ a-priori bounds and uniform $L^{\infty}(\Omega)$ a-priori bounds for subcritical elliptic equations

Autor:	Alfonso Castro, Nsoki Mavinga, Rosa Pardo
Rok vydání:	2019
Předmět:	Class (set theory) Pure mathematics Applied Mathematics 010102 general mathematics Star (graph theory) 01 natural sciences Omega Bounded function A priori and a posteriori Boundary value problem 0101 mathematics Equivalence (measure theory) Analysis Mathematics
Zdroj:	Topol. Methods Nonlinear Anal. 53, no. 1 (2019), 43-56
ISSN:	1230-3429
Popis:	We provide sufficient conditions for a uniform $L^{2^\star}(\Omega)$ bound to imply a uniform $L^\infty (\Omega)$ bound for positive classical solutions to a class of subcritical elliptic problems in bounded $C^2$ domains in ${\mathbb R}^N$. We also establish an equivalent result for sequences of boundary value problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7026ed20b4a2613be5f3524d5df701a6 https://doi.org/10.12775/tmna.2018.036 Zobrazit plný text záznamu