Connecting orbits in Hilbert spaces and applications to P.D.E
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Publication:2308270
DOI10.3934/cpaa.2020122zbMath1437.35223arXiv1903.09473OpenAlexW3012179172MaRDI QIDQ2308270
Publication date: 26 March 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09473
heteroclinic orbitsbistable potentialsheteroclinic double layerssecond and fourth order systems of PDE
Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35)
Related Items (5)
On the structure of minimizers of the Allen-Cahn energy for \(Z_N\) symmetric nonnegative potentials with \(N+1\) zeros ⋮ On the triple junction problem without symmetry hypotheses ⋮ Unnamed Item ⋮ Double layered solutions to the extended Fisher-Kolmogorov P.D.E. ⋮ Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation
Cites Work
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- Density estimates for vector minimizers and applications
- On the heteroclinic connection problem for multi-well gradient systems
- Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential
- On the existence of heteroclinic connections
- Functional analysis, Sobolev spaces and partial differential equations
- The effect of a singular perturbation on nonconvex variational problems
- Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
- Elliptic partial differential equations of second order
- Minimal heteroclinics for a class of fourth order O.D.E. systems
- Prescribed energy connecting orbits for gradient systems
- Layered solutions to the vector Allen-Cahn equation in \(\mathbb{R}^2\). Minimizers and heteroclinic connections
- On minimizers of the Hamiltonian system $u\'\'=\\nabla W(u)$ and on the existence of heteroclinic, homoclinic and periodic orbits
- On the connection problem for potentials with several global minima
- Asymmetric heteroclinic double layers
- Uniform convergence of a singular perturbation problem
- Metric methods for heteroclinic connections
- Stationary layered solutions for a system of Allen-Cahn type equations
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