ON STRONGLY INDEFINITE SYSTEMS INVOLVING FRACTIONAL ELLIPTIC OPERATORS

DOI10.17654/AM0970230085zbMath1388.35051arXiv1706.01349OpenAlexW2963196293MaRDI QIDQ4639835

Edir Junior Ferreira Leite

Publication date: 11 May 2018

Published in: Far East Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01349

zbMATH Keywords

fractional Laplace operatorspectral fractional Laplace operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Cites Work

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• Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian
• Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
• Nonlocal diffusion and applications
• Some monotonicity results for general systems of nonlinear elliptic PDEs
• Geometric inequalities and symmetry results for elliptic systems
• A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains
• Saddle point solutions for non-local elliptic operators
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• The Pohozaev identity for the fractional Laplacian
• Mountain pass solutions for non-local elliptic operators
• An introduction to Sobolev spaces and interpolation spaces
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Variational problems with free boundaries for the fractional Laplacian
• Critical point theorems for indefinite functionals
• On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results
• A priori bounds and positive solutions for non-variational fractional elliptic systems.
• Nonexistence results for a class of fractional elliptic boundary value problems
• Comparison results and steady states for the Fujita equation with fractional Laplacian.
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
• Positive solutions for non local elliptic problems
• Variational methods for non-local operators of elliptic type
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Existence and uniqueness of positive solutions to certain differential systems
• Dual variational methods in critical point theory and applications
• A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations
• The Dirichlet problem for nonlocal operators
• On strongly indefinite systems involving the fractional Laplacian
• Differential systems with strongly indefinite variational structure
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• Elliptic systems with nonlinearities of arbitrary growth
• The extremal solution for the fractional Laplacian
• Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
• Fractional eigenvalues
• A critical Kirchhoff type problem involving a nonlocal operator
• Regularity of nonlinear equations for fractional Laplacian
• A concave—convex elliptic problem involving the fractional Laplacian
• On the spectrum of two different fractional operators
• Sequences of Weak Solutions for Non-Local Elliptic Problems with Dirichlet Boundary Condition
• On Fractional Laplacians
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Regularity of the obstacle problem for a fractional power of the laplace operator
• A priori bounds for positive solutions of nonlinear elliptic equations
• Positive splutions of semilinear elliptic systems
• A rellich type identity and applications
• On Superquadratic Elliptic Systems
• Fractional p-eigenvalues
• Symmetry results for stable and monotone solutions to fibered systems of PDEs
• An Extension Problem Related to the Fractional Laplacian
• On the Dirichlet problem for second-order elliptic integro-differential equations
• The Brezis-Nirenberg result for the fractional Laplacian