Singular dimension of the solution set of a class ofp-Laplace equations

DOI10.1080/17476930903568373zbMath1195.35159OpenAlexW2157367586MaRDI QIDQ3577868

Darko Žubrinić

Publication date: 26 July 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903568373

zbMATH Keywords

\(p\)-Laplace equationfractal setsingular setsingular dimension

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Unnamed Item
• Theory of function spaces
• Generating singularities of weak solutions of \(p\)-Laplace equations on fractal sets
• Singular sets of Lebesgue integrable functions
• Maximally singular Sobolev functions
• Generating singularities of solutions of quasilinear elliptic equations
• Maximally singular functions in Besov spaces
• Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations
• Local regularity properties for the solutions of a nonlinear partial differential equation

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