Embedding theorems and continuity of generalized solutions of quasilinear elliptic equations

DOI10.1007/BF02754410zbMath1001.46022OpenAlexW2069118403MaRDI QIDQ5942176

V. S. Klimov

Publication date: 2000

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02754410

zbMATH Keywords

quasilinear elliptic equations\(N\)-functionLipschitz conditionOrlicz-Sobolev-type spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

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\(L^\Phi\)-\(L^\infty\) inequalities and new remarks on the Hölder continuity of the quasi-minima of scalar integral functionals with general growths ⋮ An Harnack inequality for the quasi-minima of scalar integral functionals with nearly linear growth conditions ⋮ A Harnack inequality for the quasi-minima of scalar integral functionals with general growth conditions

Cites Work

• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Functional inequalities and generalized capacities
• Convex Analysis
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
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