Remark on solvability of \(p\)-Laplacian equations in large dimension

DOI10.1007/s11856-009-0077-yzbMath1175.35063OpenAlexW2049220128MaRDI QIDQ731373

Meng Xu, Xiao-Ping Yang

Publication date: 2 October 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0077-y

zbMATH Keywords

Schauder's fixed point theoremregular solutions\(p\)-Laplacian equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61)

Related Items (2)

On a p-Laplacian eigenvalue problem with supercritical exponent ⋮ A third solution to the eigenvalue problem with supercritical exponent

Cites Work

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• Regularity for a more general class of quasilinear equations
• Regularity for a class of nonlinear elliptic systems
• Hölder continuity of the inverse of \(p\)-Laplacian
• Regularity of \(p\)-harmonic functions on the plane
• Local behavior of solutions of quasi-linear equations
• Semi-stable and extremal solutions of reaction equations involving the \(p\)-Laplacian
• On the solutions of quasilinear elliptic equations with a polynomial-type reaction term
• Linear and quasilinear elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations
• On an Emden-Fowler type equation
• Quasilinear problems with exponential growth in the reaction term

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