Minimal energy solutions to the fractional Lane-Emden system: existence and singularity formation
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Publication:2313561
DOI10.4171/rmi/1068zbMath1418.35358arXiv1610.02853OpenAlexW2964178875WikidataQ128091267 ScholiaQ128091267MaRDI QIDQ2313561
Publication date: 19 July 2019
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.02853
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- Fractional elliptic equations, Caccioppoli estimates and regularity
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- On some critical problems for the fractional Laplacian operator
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- The Brezis-Nirenberg type problem involving the square root of the Laplacian
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Extremals of functionals with competing symmetries
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- The proof of the Lane-Emden conjecture in four space dimensions
- Critical point theorems for indefinite functionals
- Remarks on the Schrödinger operator with singular complex potentials
- A priori bounds and positive solutions for non-variational fractional elliptic systems.
- Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space
- Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality
- On positive viscosity solutions of fractional Lane-Emden systems
- Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola
- On strongly indefinite systems involving the fractional Laplacian
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Differential systems with strongly indefinite variational structure
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Solutions of an elliptic system with a nearly critical exponent
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
- A concave—convex elliptic problem involving the fractional Laplacian
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- Q-Curvature on a Class of Manifolds with Dimension at Least 5
- Positive splutions of semilinear elliptic systems
- A rellich type identity and applications
- On Superquadratic Elliptic Systems
- Classification of Solutions for a System of Integral Equations
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Sharp constant in a Sobolev inequality
- An Extension Problem Related to the Fractional Laplacian
- Classification of solutions for an integral equation
- The Brezis-Nirenberg result for the fractional Laplacian
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Asymptotics of ground states for fractional Hénon systems
- Asymptotics of positive solutions for a biharmonic equation involving critical exponent
- Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
