Constrained topological degree and positive solutions of fully nonlinear boundary value problems

DOI10.1016/j.jde.2009.06.025zbMath1188.35088OpenAlexW2016212513WikidataQ96744687 ScholiaQ96744687MaRDI QIDQ1032875

Aleksander Ćwiszewski, Wojciech Kryszewski

Publication date: 5 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.06.025

zbMATH Keywords

degreesteady state solutionreaction-diffusion equationm-accretive operatorconstraint setconstrained nonlinear equilibrium problemcontrolled Neumann-like problem

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (10)

The Bolzano mean-value theorem and partial differential equations ⋮ The Krasnosel'skii formula for parabolic differential inclusions with state constraints ⋮ Stationary solutions and connecting orbits for \(p\)-Laplace equation ⋮ Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach ⋮ On stability results for \(\phi\)-strongly pseudocontractive mappings ⋮ Homotopy invariants for tangent vector fields on closed sets ⋮ Constrained semilinear elliptic systems on \(\mathbb{R}^N\) ⋮ Invariance and strict invariance for nonlinear evolution problems with applications ⋮ Topological degree methods for perturbations of operators generating compact \(C_0\) semigroups ⋮ Nonlocal problems in Hilbert spaces

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