A new deduction of the strict sub-additive inequality and its application: ground state normalized solution to Schrödinger equations with potential.

DOI10.57262/die036-0102-133OpenAlexW4311696507MaRDI QIDQ2093356

Publication date: 7 November 2022

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12558

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Variational methods for second-order elliptic equations (35J20) Soliton solutions (35C08) Positive solutions to PDEs (35B09)

Related Items (5)

Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation ⋮ Multiplicity and stability of normalized solutions to non-autonomous Schrödinger equation with mixed non-linearities ⋮ Normalized solutions to fractional Schrödinger equation with potentials ⋮ Normalized solutions for nonlinear Schrödinger equation involving potential and Sobolev critical exponent ⋮ Existence of normalized positive solutions for a class of nonhomogeneous elliptic equations

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