Qualitative analysis of solutions for fractional \(p\)-Kirchhoff problems involving critical exponential growth
DOI10.1007/S12220-024-01875-4MaRDI QIDQ6661032
Rui He, Binlin Zhang, Thin Van Nguyen, Sihua Liang
Publication date: 10 January 2025
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Morse theoryexponential growthTrudinger-Moser inequalityLjusternik-Schnirelmann theoryfractional \(p\)-Kirchhhoff
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Optimal decay of extremals for the fractional Sobolev inequality
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
- Nonautonomous fractional problems with exponential growth
- Morse theory on Branach space and its applications to partial differential equations
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Multiple positive solutions for a critical quasilinear equation via Morse theory
- On a class of nonlinear Schrödinger equations
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- The effect of the domain topology on the number of solutions of fractional Laplace problems
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- Corrigendum: Elliptic equations in \(\mathbb{R}^ 2\) with nonlinearities in the critical growth range
- Minimax theorems
- Variational methods for non-local operators of elliptic type
- Spectrum of the fractional \(p\)-Laplacian in \(\mathbb{R}^N\) and decay estimate for positive solutions of a Schrödinger equation
- Singular Trudinger-Moser inequality and fractional \(p\)-Laplace equations in \(\mathbb{R}^N\)
- Singular quasilinear critical Schrödinger equations in \(\mathbb{R}^N\)
- On a class of nonlocal Schrödinger equations with exponential growth
- G-invariant positive solutions for a class of locally superlinear Schrödinger equations
- Concentration phenomena for a class of fractional Kirchhoff equations in \(\mathbb{R}^N\) with general nonlinearities
- Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities
- Kirchhoff-Hardy fractional problems with lack of compactness
- On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation
- A critical Kirchhoff type problem involving a nonlocal operator
- The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field
- Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction
- Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian
- On the Well-Posedness of the Kirchhoff String
- Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations
- Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth
- Concentrating solutions for a fractional Kirchhoff equation with critical growth
- Infinitely many solutions for non-local elliptic non-degeneratep-Kirchhoff equations with critical exponent
- Existence and multiplicity of solutions for fractionalp-Laplacian Schrödinger–Kirchhoff type equations
- Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in ℝN
- Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
- Global existence and multiplicity for nonlinear Robin eigenvalue problems
- Existence and concentration of solutions to Kirchhoff-type equations in \(\mathbb{R}^2\) with steep potential well vanishing at infinity and exponential critical nonlinearities
- Multiplicity results for generalized quasilinear critical Schrödinger equations in \(\mathbb{R}^N\)
- Multiple concentrating solutions for a fractional \((p, q)\)-Choquard equation
- Critical planar Schrödinger-Poisson equations: existence, multiplicity and concentration
- An infinite sequence of localized semiclassical states for nonlinear Maxwell-Dirac system
- Multiplicity and concentration of solutions for Kirchhoff equations with exponential growth
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