Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials
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Publication:2502550
DOI10.4171/JEMS/48zbMath1245.35036MaRDI QIDQ2502550
Zhi-Qiang Wang, Jaeyoung Byeon
Publication date: 13 September 2006
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Variational methods involving nonlinear operators (47J30) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)
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Cites Work
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- Nonlinear Schrödinger equations with vanishing and decaying potentials.
- Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Semiclassical symmetric Schrödinger equations: existence of solutions concentrating simultaneously on several spheres
- Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity
- Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials
- Existence of large positive solutions of some nonlinear elliptic $si:equations on singularly perturbed doamins
- Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
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