Infinitely many sign-changing solutions for Choquard equation with doubly critical exponents
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Publication:5037852
DOI10.1080/17476933.2020.1825394zbMath1485.35203OpenAlexW3089739596MaRDI QIDQ5037852
Haibo Chen, Jie Yang, Senli Liu
Publication date: 4 March 2022
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2020.1825394
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)
Cites Work
- Unnamed Item
- Nodal solutions for the Choquard equation
- Multiple solutions to a magnetic nonlinear Choquard equation
- The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in \(\mathbb R^N\)
- A guide to the Choquard equation
- Choquard equations under confining external potentials
- Semilinear elliptic equations for beginners. Existence results via the variational approach
- Ground states for Choquard equations with doubly critical exponents
- On the existence of sign changing solutions for semilinear Dirichlet problems
- On a superlinear elliptic \(p\)-Laplacian equation.
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- Nonlinear Choquard equations: doubly critical case
- Odd symmetry of least energy nodal solutions for the Choquard equation
- Ground state sign-changing solutions for a Schrödinger-Poisson system with a critical nonlinearity in \(\mathbb{R}^3\)
- On gravity's role in quantum state reduction
- Minimax theorems
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
- New result for nonlinear Choquard equations: doubly critical case
- Multiplicity and concentration results for fractional Choquard equations: doubly critical case
- Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent
- Positive and sign changing solutions to a nonlinear Choquard equation
- Infinitely many bound states for Choquard equations with local nonlinearities
- Limit profiles and uniqueness of ground states to the nonlinear Choquard equations
- Nodal type bound states of Schrödinger equations via invariant set and minimax methods
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Schrödinger‐Poisson system with Hardy‐Littlewood‐Sobolev critical exponent
- Existence of groundstates for a class of nonlinear Choquard equations
- Least action nodal solutions for the quadratic Choquard equation
- Functional Analysis
- Nodal solutions of a p-Laplacian equation
- Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations