A critical fractional \(p\)-Kirchhoff type problem involving discontinuous nonlinearity
From MaRDI portal
Publication:1734812
DOI10.3934/dcdss.2019027zbMath1411.35277OpenAlexW2886139013MaRDI QIDQ1734812
Publication date: 27 March 2019
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2019027
critical Sobolev exponentfractional \(p\)-LaplacianKirchhoff problemdiscontinuous nonlinearityprinciple of concentration compactness
Variational methods applied to PDEs (35A15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Related Items (8)
Singular elliptic problem involving a fractional \(p\)-Laplacian with discontinuous nonlinearity ⋮ Characteristic of solutions for non‐local fractional p(x)‐Laplacian with multi‐valued nonlinear perturbations ⋮ An existence result for a fractional critical \((p, q)\)-Laplacian problem with discontinuous nonlinearity ⋮ Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities ⋮ Concentration phenomenon for a fractional Schrödinger equation with discontinuous nonlinearity ⋮ Existence and behavior of the solutions for an elliptic equation with a nonlocal operator involving critical and discontinuous nonlinearity ⋮ A singular elliptic problem involving fractional p-Laplacian and a discontinuous critical nonlinearity ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator.
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- Optimal decay of extremals for the fractional Sobolev inequality
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- A critical fractional equation with concave-convex power nonlinearities
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Fractional Laplacian equations with critical Sobolev exponent
- The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- Existence and multiplicity of solutions for discontinuous problems with critical Sobolev exponents
- Stability of variational eigenvalues for the fractional \(p\)-Laplacian
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Ground state solutions of scalar field fractional Schrödinger equations
- Existence of solutions for perturbed fractional \(p\)-Laplacian equations
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Critical point theory and Hamiltonian systems
- On multiple solutions for the nonhomogeneous \(p\)-Laplacian with a critical Sobolev exponent
- Fractional quantum mechanics and Lévy path integrals
- Entire solutions for critical \(p\)-fractional Hardy Schrödinger Kirchhoff equations
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- Ground states for nonlinear Kirchhoff equations with critical growth
- Higher nonlocal problems with bounded potential
- Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
- A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
- Perturbation methods for nonlocal Kirchhoff-type problems
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- On a \(p\)-Kirchhoff problem involving a critical nonlinearity
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
- Non-local Diffusions, Drifts and Games
- Concentrating Bound States for Kirchhoff Type Problems in ℝ3 Involving Critical Sobolev Exponents
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Variational Methods for Nonlocal Fractional Problems
- Generalized Gradients and Applications
- Existence of positive solutions for m-Laplacian equations in N involving critical Sobolev exponents
- Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities
- A note on the elliptic Kirchhoff equation in ℝNperturbed by a local nonlinearity
- Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
- A variational approach to discontinuous problems with critical Sobolev exponents
This page was built for publication: A critical fractional \(p\)-Kirchhoff type problem involving discontinuous nonlinearity
