Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory
DOI10.1080/17476933.2022.2069760zbMath1522.35565OpenAlexW4280550956MaRDI QIDQ6053055
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Publication date: 25 September 2023
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2022.2069760
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
- Some qualitative results of the critical groups for the \(p\)-Laplacian equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
- Infinite dimensional Morse theory and multiple solution problems
- Existence of positive solutions to the Schrödinger-Poisson system without compactness conditions
- Multiple positive solutions for Kirchhoff type problems with singularity
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory
- Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
- A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- Multiple solutions for the p-Laplacian equations with concave nonlinearities via Morse theory
- Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems
- Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian
- Existence of positive solution to Kirchhoff-Schrödinger-Poisson system with strong singular term
- Methods in Nonlinear Analysis
- Morse theory on Banach manifolds
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