A degree theory for compact perturbations of monotone type operators and application to nonlinear parabolic problem

DOI10.1155/2017/7236103zbMath1470.47046OpenAlexW2756152100MaRDI QIDQ1667566

Teffera M. Asfaw

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/7236103

zbMATH Keywords

Sobolev spaceexistence theoremstopological degree theorynonlinear parabolic problemoperator inclusionslocally uniformly convex reflexive Banach space

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Degree theory for nonlinear operators (47H11)

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Cites Work

• New surjectivity results for perturbed weakly coercive operators of monotone type in reflexive Banach spaces
• A new topological degree theory for perturbations of the sum of two maximal monotone operators
• On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains
• A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications
• The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces
• Degree theory for multivalued (S) type mappings and fixed point theorems
• Topological degree for \((S)_{+}\)-mappings with maximal monotone perturbations and its applications to variational inequalities
• Quasilinear parabolic variational inequalities with multi-valued lower-order terms
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Nonlinear mappings of monotone type in Banach spaces
• A range and existence theorem for pseudomonotone perturbations of maximal monotone operators
• Degree of mapping for nonlinear mappings of monotone type: Densely defined mapping
• Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains
• Generalizations of Browder's Degree Theory
• New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces
• Perturbations of nonlinear maximal monotone sets in banach space
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
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