The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results
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Publication:2075100
DOI10.3934/dcds.2021092zbMath1483.35314arXiv2003.06155OpenAlexW3174381771MaRDI QIDQ2075100
Publication date: 14 February 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06155
variational methodsLjusternik-Schnirelman theoryextension methodfractional relativistic Schrödinger operator
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)
Related Items (6)
On the convergence of the fractional relativistic Schrödinger operator ⋮ Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth ⋮ Concentration of solutions for a fractional relativistic Schrödinger-Choquard equation with critical growth ⋮ On the fractional relativistic Schrödinger operator ⋮ Existence and nonexistence of solutions to nonlocal elliptic problems ⋮ On a class of anharmonic oscillators. II: General case
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