Normalized solutions for critical growth Schrödinger equations with nonautonomous perturbation

DOI10.1016/J.AML.2023.108936OpenAlexW4388948407MaRDI QIDQ6181266

Qin Xu, Gui-Dong Li, Song Fan, Chun-Fei Long

Publication date: 2 January 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108936

zbMATH Keywords

nonlinear Schrödinger equationSobolev critical growthexistence of normalized solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

• Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
• Best constant in Sobolev inequality
• Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities
• Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\)
• Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
• Multiple normalized solutions for a Sobolev critical Schrödinger equation
• Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
• Existence of normalized positive solutions for a class of nonhomogeneous elliptic equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Existence of solutions with prescribed norm for semilinear elliptic equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Existence of multiple positive solutions for a semilinear equation with critical exponent
• The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

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