A degree theory for compact perturbations of monotone type operators and application to nonlinear parabolic problem
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Publication:1667566
DOI10.1155/2017/7236103zbMath1470.47046OpenAlexW2756152100MaRDI QIDQ1667566
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
Sobolev spaceexistence theoremstopological degree theorynonlinear parabolic problemoperator inclusionslocally uniformly convex reflexive Banach space
Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Degree theory for nonlinear operators (47H11)
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Cites Work
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- On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains
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- 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
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- Nonlinear mappings of monotone type in Banach spaces
- A range and existence theorem for pseudomonotone perturbations of maximal monotone operators
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- Nonlinear Differential Equations of Monotone Types in Banach Spaces
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