Non-linear boundary value problems with generalizedp-Laplacian, ranges of m-accretive mappings and iterative schemes

DOI10.1080/00036811.2013.772584zbMath1352.47033OpenAlexW2030187688MaRDI QIDQ5413848

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

Publication date: 2 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2013.772584

zbMATH Keywords

iterative schememonotone operatoraccretive mappingzero pointgeneralized \(p\)-Laplacian operatornon-linear elliptic boundary value problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Applications of operator theory to differential and integral equations (47N20) Perturbations of nonlinear operators (47H14) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (4)

Splitting-midpoint method for zeros of the sum of accretive operator and \(\mu\)-inversely strongly accretive operator in a \(q\)-uniformly smooth Banach space and its applications ⋮ A new iterative algorithm for the sum of infinite \(m\)-accretive mappings and infinite \(\mu_{i}\)-inversely strongly accretive mappings and its applications to integro-differential systems ⋮ Strong convergence result of forward-backward splitting methods for accretive operators in Banach spaces with applications ⋮ Discussion on the existence and uniqueness of solution to nonlinear integro-differential systems

Cites Work

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