Method of rotating planes applied to a singularly perturbed Neumann problem

DOI10.1007/s005260100087zbMath1221.35170OpenAlexW1992349462MaRDI QIDQ5956940

Chang-Shou Lin, Izumi Takagi

Publication date: 28 February 2002

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260100087

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

An instability criterion for activator-inhibitor systems in a two-dimensional ball ⋮ On the location of two blowup points on an annulus for the mean field equation ⋮ Symmetry and monotonicity of positive solution of elliptic equation with mixed boundary condition in a spherical cone ⋮ On the number of nodal solutions to a singularly perturbed Neumann problem ⋮ Stability of least energy patterns of the shadow system for an activator-inhibitor model. ⋮ On the shape of the stable patterns for activator-inhibitor systems in two-dimensional domains ⋮ Symmetry and monotonicity of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical cone ⋮ Existence and uniqueness of monotone nodal solutions of a semilinear Neumann problem ⋮ Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a sub-spherical sector

This page was built for publication: Method of rotating planes applied to a singularly perturbed Neumann problem