Exponentially stable equilibria to an indefinite nonlinear Neumann problem in smooth domains

DOI10.1007/S00030-011-0109-2zbMath1254.35126OpenAlexW2016425398MaRDI QIDQ649060

Gustavo Ferron Madeira, Arnaldo Simal do Nascimento

Publication date: 30 November 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-011-0109-2

zbMATH Keywords

nonlinear boundary conditionindefinite weightimplicit function theoremnonconstant stable equilibriabistable function

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Bifurcation of stable equilibria under nonlinear flux boundary condition with null average weight ⋮ Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition ⋮ Bifurcation of positive solutions to scalar reaction-diffusion equations with nonlinear boundary condition ⋮ Nontrivial boundary structure in a Neumann problem on balls with radii tending to infinity ⋮ Stability and bifurcation of a reaction-diffusion-advection model with nonlinear boundary condition ⋮ Behavior and stability of steady-state solutions of nonlinear boundary value problems with nonlocal delay effect ⋮ Bifurcation of stable equilibria and nonlinear flux boundary condition with indefinite weight ⋮ Steady-state bifurcation of a nonlinear boundary problem ⋮ Large time behavior of solutions to degenerate parabolic equations ⋮ Bifurcation from trivial solution for elliptic systems with nonlinear boundary conditions

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