Bistable boundary reactions in two dimensions

DOI10.1007/s00205-010-0337-3zbMath1236.35074OpenAlexW2003999227MaRDI QIDQ717459

Monica Musso, Juan Dávila, Manuel A. del Pino

Publication date: 4 October 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/127487

zbMATH Keywords

harmonic functionerror estimatebistable nonlinearityRobin boundary conditionlinearized equationvariational reductionconvolution estimates

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35)

Related Items (8)

Bifurcation of positive solutions to scalar reaction-diffusion equations with nonlinear boundary condition ⋮ Stability and bifurcation of a reaction-diffusion-advection model with nonlinear boundary condition ⋮ Concentrating solutions of the Liouville equation with Robin boundary condition ⋮ Uniqueness for linear integro-differential equations in the real line and applications ⋮ Layered solutions for a fractional inhomogeneous Allen-Cahn equation ⋮ Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent ⋮ On stable solutions for boundary reactions: a De Giorgi-type result in dimension \(4 + 1\) ⋮ Bifurcation from trivial solution for elliptic systems with nonlinear boundary conditions

Cites Work

• Unnamed Item
• Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
• Phase transition with the line-tension effect
• Stability of local minima and stable nonconstant equilibria
• The Peierls-Nabarro and Benjamin-Ono equations
• Elliptic partial differential equations of second order
• Boundary vortices in thin magnetic films
• Singular limits of a two-dimensional boundary value problem arising in corrosion modelling
• Another thin-film limit of micromagnetics
• A nonlocal singular perturbation problem with periodic well potential
• Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling
• Uniqueness of Benjamin's Solitary-Wave Solution of the Benjamin-Ono Equation
• Layer solutions in a half‐space for boundary reactions

This page was built for publication: Bistable boundary reactions in two dimensions