Singular solutions to \(p\)-Laplacian type equations

DOI10.1007/BF02412215zbMath1018.35028WikidataQ109967689 ScholiaQ109967689MaRDI QIDQ1397590

Tero Kilpeläinen

Publication date: 6 August 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

potentials\(\mathcal A\)-superharmonic functions\(p\)-Laplacian involving measures

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (9)

Extremal solutions of \(p\)-Laplacian problems in \(D^{1, p}(\mathbb{R}^N)\) via Wolff potential estimates ⋮ Maximally singular weak solutions of Laplace equations ⋮ Unnamed Item ⋮ Approximations by differences of lower semicontinuous and finely continuous functions ⋮ The Wolff gradient bound for degenerate parabolic equations ⋮ Polar sets on metric spaces ⋮ Removable sets for continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms ⋮ On the equivalence of stochastic completeness and Liouville and Khas’minskii conditions in linear and nonlinear settings ⋮ Singular sets of Sobolev functions

Cites Work

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• Regularity and polar sets for supersolutions of certain degenerate elliptic equations
• The Wiener test and potential estimates for quasilinear elliptic equations
• Polar sets for supersolutions of degenerate elliptic equations.
• Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side
• Potentials and positively infinite singularities of harmonic functions

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