Research on the existence of solution of equation involving \(p\)-Laplacian operator

DOI10.1007/BF02791356zbMath1130.35068OpenAlexW2009066951MaRDI QIDQ2505267

Li Wei, Hai-Yun Zhou

Publication date: 4 October 2006

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02791356

zbMATH Keywords

maximal monotone operator\(p\)-Laplacian operatoraccretive mappinghemi-continuous mapping

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60)

Related Items (8)

New method for the existence and uniqueness of solution of nonlinear parabolic equation ⋮ New applications of Calvert and Gupta's results to hyperbolic differential equation with mixed boundaries ⋮ Applications of perturbations on accretive mappings to nonlinear elliptic systems involving \((p, q)\)-Laplacian ⋮ Solution of nonlinear elliptic boundary value problems and its iterative construction ⋮ Existence of solutions to nonlinear Neumann boundary value problems with \(p\)-Laplacian operator and iterative construction ⋮ Non-linear boundary value problems with generalizedp-Laplacian, ranges of m-accretive mappings and iterative schemes ⋮ Discussion on the existence and uniqueness of solution to nonlinear integro-differential systems ⋮ Existence of solutions to nonlinear Neumann boundary value problems with generalized \(p\)-Laplacian operator

Cites Work

• Existence of solutions of a family of nonlinear boundary value problems in \(L^2\)-spaces
• The existence of solutions of nonlinear boundary value problems involving the \(p\)-Laplacian operator in \(L^s\)-spaces
• Nonlinear elliptic boundary value problems in Lp-spaces and sums of ranges of accretive operators
• The applications of sums of ranges of accretive operators to nonlinear equations involving the P-Laplacian operator
• The applications of theories of accretive operators to nonlinear elliptic boundary value problems in \(L^p\)-spaces

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