Existence of solutions to nonlinear Neumann boundary value problems with \(p\)-Laplacian operator and iterative construction

DOI10.1007/s10255-011-0084-8zbMath1302.47106OpenAlexW1983435551MaRDI QIDQ475695

Li Wei, Ravi P. Agarwal, Hai-Yun Zhou

Publication date: 27 November 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0084-8

zbMATH Keywords

maximal monotone operatoriterative scheme\(p\)-Laplacian operatorpseudo-monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Applications of operator theory to differential and integral equations (47N20) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (5)

Existence of solutions of fractional boundary value problems with \(p\)-Laplacian operator ⋮ Unnamed Item ⋮ Solution of nonlinear elliptic boundary value problems and its iterative construction ⋮ Non-linear boundary value problems with generalizedp-Laplacian, ranges of m-accretive mappings and iterative schemes ⋮ \(p\)-harmonic functions in \(\mathbb{R}^N_+\) with nonlinear Neumann boundary conditions and measure data

Cites Work

• Existence of solutions to nonlinear Neumann boundary value problems with generalized \(p\)-Laplacian operator
• Research on the existence of solution of equation involving \(p\)-Laplacian operator
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• 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
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• The applications of theories of accretive operators to nonlinear elliptic boundary value problems in \(L^p\)-spaces
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