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

DOI10.12775/TMNA.2018.036zbMath1415.35064MaRDI QIDQ2422551

Rosa Pardo San Gil, Alfonso Castro, Nsoki Mavinga

Publication date: 19 June 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1547434817

zbMATH Keywords

sequences of boundary value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (4)

Positive solutions for slightly subcritical elliptic problems via Orlicz spaces ⋮ \(L^{\infty} (\Omega)\) a priori estimates for subcritical semilinear elliptic equations with a Carathéodory non-linearity ⋮ Equivalence between uniform \(L^{p^*}\) a priori bounds and uniform \(L^\infty\) a priori bounds for subcritical \(p\)-Laplacian equations ⋮ Unnamed Item

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