Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case
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Publication:2159062
DOI10.1016/J.JDE.2022.06.013zbMath1496.35357arXiv2111.01687OpenAlexW4283646926MaRDI QIDQ2159062
Publication date: 26 July 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.01687
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08) Positive solutions to PDEs (35B09)
Related Items (11)
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann Category ⋮ Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation ⋮ The existence of normalized solutions to the Kirchhoff equation with potential and Sobolev critical nonlinearities ⋮ Multiplicity and stability of normalized solutions to non-autonomous Schrödinger equation with mixed non-linearities ⋮ Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction ⋮ Normalized solutions for nonlinear Schrödinger equation involving potential and Sobolev critical exponent ⋮ Normalized solutions to the mass supercritical Kirchhoff-type equation with non-trapping potential ⋮ Existence and stability of standing waves for the mixed dispersion nonlinear Schrödinger equation with a partial confinement in \(\mathbb{R}^N\) ⋮ Normalized solutions for Schrödinger equations with potentials and general nonlinearities ⋮ The existence and multiplicity of \(L^2\)-normalized solutions to nonlinear Schrödinger equations with variable coefficients ⋮ Normalized solutions for scalar field equation involving multiple critical nonlinearities
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