An energy constrained method for the existence of layered type solutions of NLS equations
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Publication:457835
DOI10.1016/j.anihpc.2013.07.003zbMath1444.35057arXiv1211.6686OpenAlexW1980402074MaRDI QIDQ457835
Piero Montecchiari, Francesca Alessio
Publication date: 29 September 2014
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.6686
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Entire solutions to PDEs (35B08)
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Further results on quasiperiodic partially localized solutions of homogeneous elliptic equations on \(\mathbb{R}^{N + 1} \) ⋮ Gradient Lagrangian systems and semilinear PDE ⋮ Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential ⋮ Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential ⋮ Double layered solutions to the extended Fisher-Kolmogorov P.D.E. ⋮ Existence of partially localized quasiperiodic solutions of homogeneous elliptic equations on R^{N+1} ⋮ The existence of partially localized periodic-quasiperiodic solutions and related KAM-type results for elliptic equations on the entire space
Cites Work
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- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- The Toda system and multiple-end solutions of autonomous planar elliptic problems
- Some new entire solutions of semilinear elliptic equations on \(\mathbb R^n\)
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Symétrie et compacité dans les espaces de Sobolev
- Existence of solitary waves in higher dimensions
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Stationary layered solutions in \(\mathbb{R}^2\) for a class of non autonomous Allen-Cahn equations
- Hamiltonian identities for elliptic partial differential equations
- Brake orbits type solutions to some class of semilinear elliptic equations
- Uniqueness of ground states for quasilinear elliptic equations
- Axial symmetry of some steady state solutions to nonlinear Schrödinger equations
- Radial symmetry of positive solutions of nonlinear elliptic equations in Rn
- 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
- A remark on least energy solutions in $\mathbf {R}^N$
- Stationary layered solutions for a system of Allen-Cahn type equations
- Qualitative properties of some bounded positive solutions to scalar field equations
