Existence and iterative construction of solutions to non-linear Dirichlet boundary value problems with p-Laplacian operator

DOI10.1080/17476930802657632zbMath1198.47090OpenAlexW2054704129MaRDI QIDQ3562368

Li Wei, Patricia J. Y. Wong, Ravi P. Agarwal

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/17476930802657632

zbMATH Keywords

strong convergencemaximal monotone operatoriterative scheme\(p\)-Laplacian operatorpseudo-monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

Iterative schemes for finite families of maximal monotone operators based on resolvents

Cites Work

• Unnamed Item
• Existence of solutions to nonlinear Neumann boundary value problems with generalized \(p\)-Laplacian operator
• A new least square algorithm for linear programming
• 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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