Existence of nontrivial solutions for fractional Choquard equations with critical or supercritical growth
From MaRDI portal
Publication:3389507
DOI10.1080/00036811.2020.1761015zbMath1486.35195OpenAlexW3025442437MaRDI QIDQ3389507
Jian Zhang, Wenbo Wang, Quanqing Li, Kai-Min Teng
Publication date: 23 March 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1761015
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items (2)
Multiplicity of semiclassical solutions for fractional Choquard equations with critical growth ⋮ Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth
Cites Work
- Unnamed Item
- Unnamed Item
- Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations
- Multiple solutions to a magnetic nonlinear Choquard equation
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
- On a periodic Schrödinger equation with nonlocal superlinear part
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Fractional Choquard equation with critical nonlinearities
- On gravity's role in quantum state reduction
- On the regularity of positive solutions of a class of Choquard type equations
- Ground states for pseudo-relativistic Hartree equations of critical type
- The boson star equation with initial data of low regularity
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Mean field dynamics of boson stars
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- On nonlinear fractional Schrödinger equations with Hartree-type nonlinearity
- Ground States for Semi-Relativistic Schrödinger-Poisson-Slater Energy
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- On fractional Choquard equations
- Existence of groundstates for a class of nonlinear Choquard equations
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
This page was built for publication: Existence of nontrivial solutions for fractional Choquard equations with critical or supercritical growth