scientific article; zbMATH DE number 7312828

DOI10.13137/2464-8728/30912zbMath1459.35138MaRDI QIDQ4963469

Paul H. Rabinowitz, Piero Montecchiari

Publication date: 18 February 2021

Full work available at URL: https://rendiconti.dmi.units.it/volumi/52/012.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

variational methodshomoclinic solutionsdouble well potentialnondegeneracy conditionheteroclinic solutionsmultitransition solutions

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the heteroclinic connection problem for multi-well gradient systems
• A double well potential system
• Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential
• Extensions of Moser-Bangert theory. Locally minimal solutions
• Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems
• A variational approach to homoclinic orbits in Hamiltonian systems
• On the existence of multi-transition solutions for a class of elliptic systems
• Minimal solutions of variational problems on a torus
• Vector-valued local minimizers of nonconvex variational problems
• Homoclinic and heteroclinic orbits for a class of Hamiltonian systems
• Looking for the Bernoulli shift
• Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems
• Variational construction of connecting orbits
• Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
• Multiplicity of homoclinics for a class of time recurrent second order Hamiltonian systems
• Stationary layered solutions in \(\mathbb{R}^2\) for a class of non autonomous Allen-Cahn equations
• On global non-degeneracy conditions for chaotic behavior for a class of dynamical systems
• Solutions of mountain pass type for double well potential systems
• On a class of reversible elliptic systems
• Prescribed energy connecting orbits for gradient systems
• Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs
• EXISTENCE OF INFINITELY MANY STATIONARY LAYERED SOLUTIONS INR²FOR A CLASS OF PERIODIC ALLEN–CAHN EQUATIONS
• Entire solutions in ${\mathbb{R}}^{2}$ for a class of Allen-Cahn equations
• Multiplicity of Entire Solutions For a Class of Almost Periodic Allen-Cahn Type Equations
• On the connection problem for potentials with several global minima
• Calculus of variations in the large and classical mechanics
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Connecting orbits for a reversible Hamiltonian system
• Heteroclinic chains for a reversible hamiltonian system
• Stationary layered solutions for a system of Allen-Cahn type equations

This page was built for publication: