The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions
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Publication:2633314
DOI10.1016/j.na.2018.10.010zbMath1408.35215OpenAlexW2900910272WikidataQ128902011 ScholiaQ128902011MaRDI QIDQ2633314
Publication date: 8 May 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2018.10.010
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Cites Work
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- Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions
- The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
- A critical fractional equation with concave-convex power nonlinearities
- Fractional Laplacian equations with critical Sobolev exponent
- A guide to the Choquard equation
- Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\)
- The Brezis-Nirenberg type problem involving the square root of the Laplacian
- The Pohozaev identity for the fractional Laplacian
- Mountain pass solutions for non-local elliptic operators
- Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- Fractional Choquard equation with critical nonlinearities
- Multiplicity results for fractional Laplace problems with critical growth
- On the variational principle
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Minimax theorems
- Variational methods for non-local operators of elliptic type
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight
- Positive solutions of fractional elliptic equation with critical and singular nonlinearity
- Singularly perturbed critical Choquard equations
- On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
- Existence results for a doubly nonlocal equation
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Ground state solutions for non-autonomous fractional Choquard equations
- A concave—convex elliptic problem involving the fractional Laplacian
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- Ground states for nonlinear fractional Choquard equations with general nonlinearities
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Variational Methods for Nonlocal Fractional Problems
- Multiple positive solutions for singular elliptic equations with weighted Hardy terms and critical Sobolev–Hardy exponents
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
- On fractional Choquard equations
- Existence of groundstates for a class of nonlinear Choquard equations
- Functional Analysis
- The Brezis-Nirenberg result for the fractional Laplacian
