A new variational characterization of spatially heteroclinic solutions of a semilinear elliptic PDE.

DOI10.3934/DCDS.2004.10.507zbMath1174.35341OpenAlexW2057801213MaRDI QIDQ1433936

Paul H. Rabinowitz

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.507

zbMATH Keywords

monotonicityheteroclinic solutionsemilinear elliptic partial differential equation

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (5)

Some results on minimizers and stable solutions of a variational problem ⋮ Existence of a heteroclinic solution for a double well potential equation in an infinite cylinder of $\mathbb{R}^{N}$ ⋮ Brake orbits type solutions to some class of semilinear elliptic equations ⋮ Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential ⋮ Existence of heteroclinic solution for a class of non-autonomous second-order equation

This page was built for publication: A new variational characterization of spatially heteroclinic solutions of a semilinear elliptic PDE.