Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities
DOI10.1080/17476933.2021.1916922zbMath1495.35203OpenAlexW3168049772MaRDI QIDQ5094520
Publication date: 3 August 2022
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2021.1916922
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) Singular nonlinear integral equations (45G05) Integro-differential operators (47G20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items (3)
Cites Work
- On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- A critical fractional equation with concave-convex power nonlinearities
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
- Existence of solutions for perturbed fractional \(p\)-Laplacian equations
- The concentration-compactness principle in the calculus of variations. The limit case. I
- A general mountain pass principle for locating and classifying critical points
- Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side
- Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
- An existence result for nonliner elliptic problems involving critical Sobolev exponent
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- Combined effects of concave and convex nonlinearities in some elliptic problems
- A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
- The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem
- Nonlocal problems with critical Hardy nonlinearity
- Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Multiplicity results for some nonlinear elliptic equations
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- Dual variational methods in critical point theory and applications
- Hardy-singular boundary mass and Sobolev-critical variational problems
- Kirchhoff-Hardy fractional problems with lack of compactness
- A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
- Multiplicity results for a non-local problem with concave and convex nonlinearities
- A concave—convex elliptic problem involving the fractional Laplacian
- Some remarks on the solvability of non-local elliptic problems with the Hardy potential
- Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Mass and asymptotics associated to fractional Hardy–Schrödinger operators in critical regimes
- On an Elliptic Equation with Concave and Convex Nonlinearities
- Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations
- The Brezis-Nirenberg result for the fractional Laplacian
This page was built for publication: Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities