Single and multitransition solutions for a family of semilinear elliptic PDE's
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Publication:640709
DOI10.1007/s00032-011-0139-6zbMath1245.35047OpenAlexW2084969438MaRDI QIDQ640709
Publication date: 19 October 2011
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-011-0139-6
minimaxhomoclinic solutionsordered setshadowingmountain pass solutionsheteroclinic solutionsgap pairminimal without self intersectionsmultitransition solutionsrenormalized functional
Variational methods applied to PDEs (35A15) Second-order elliptic equations (35J15) Semilinear elliptic equations (35J61)
Related Items (3)
Multitransition solutions for a generalized Frenkel-Kontorova model ⋮ Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation ⋮ Solutions with Polynomial Growth to an Autonomous Nonlinear Elliptic Problem
Cites Work
- Unnamed Item
- The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
- Extensions of Moser-Bangert theory. Locally minimal solutions
- A note on hybrid heteroclinic solutions for a class of semilinear elliptic PDEs
- On the multiplicity of periodic solutions of mountain pass type for a class of semilinear PDE's
- Slope-changing solutions of elliptic problems on \(\mathbb R^n\)
- Minimal solutions of variational problems on a torus
- On minimal laminations of the torus
- On the regularity of the minima of variational integrals
- Variational construction of connecting orbits
- Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
- Stationary layered solutions in \(\mathbb{R}^2\) for a class of non autonomous Allen-Cahn equations
- Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
- Mixed states for an Allen-Cahn type equation. II
- A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations
- Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media
- Brake orbits type solutions to some class of semilinear elliptic equations
- EXISTENCE OF INFINITELY MANY STATIONARY LAYERED SOLUTIONS INR2FOR A CLASS OF PERIODIC ALLEN–CAHN EQUATIONS
- Some results on minimizers and stable solutions of a variational problem
- 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
- Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- Mixed states for an Allen‐Cahn type equation
- Many Solutions of Elliptic Problems on Rnof Irrational Slope
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