Nonlinear potential theory and PDEs

DOI10.1007/BF01047838zbMath0844.35027OpenAlexW4233159266MaRDI QIDQ1320310

Tero Kilpeläinen

Publication date: 19 April 1994

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01047838

zbMATH Keywords

\(p\)-LaplacianWiener's criterionregularity of boundary points\({\mathcal A}\)-superharmonic functions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Potentials and capacities on other spaces (31C15) Other generalizations (nonlinear potential theory, etc.) (31C45)

Cites Work

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• Nonlinear elliptic and parabolic equations involving measure data
• Two theorems of N. Wiener for solutions of quasilinear elliptic equations
• A-superharmonic functions and supersolutions of degenerate elliptic equations
• Fine topology and quasilinear elliptic equations
• Quasilinear elliptic problems with measures as data
• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Thin sets in nonlinear potential theory
• Local Behavior of Solutions of Quasilinear Elliptic Equations With General Structure
• Conformally Invariant Variational Integrals
• On the definition and properties of p-superharmonic functions.
• Weak minima of variational integrals.

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