Existence of solutions for some elliptic problems with critical Sobolev exponents

DOI10.4171/RMI/91zbMath0741.35018OpenAlexW1967170714MaRDI QIDQ1173659

Mario Zuluaga

Publication date: 25 June 1992

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39388

zbMATH Keywords

approximation methodsfixed point theoremSobolev embedding

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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A general existence principle for strong solutions to the Dirichlet problem for the equation \(\Delta u+f(t,u)=0\) ⋮ Existence theorems on the Dirichlet problem for the equation Δu + f(x, u)=0 ⋮ Hölder continuity of the inverse of \(p\)-Laplacian

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