Nonlinear fractional elliptic problem with singular term at the boundary
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Publication:4634270
DOI10.1080/17476933.2018.1487410zbMath1415.35270arXiv1710.00388OpenAlexW2964199930MaRDI QIDQ4634270
Boumediene Abdellaoui, A. R. M. Primo, Kheireddine Biroud
Publication date: 7 May 2019
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.00388
Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)
Related Items (6)
Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ Mixed local and nonlocal equation with singular nonlinearity having variable exponent ⋮ Existence and nonexistence of positive solutions to a fractional parabolic problem with singular weight at the boundary ⋮ Nonlocal semilinear elliptic problems with singular nonlinearity ⋮ A fractional Laplacian problem with mixed singular nonlinearities and nonregular data ⋮ Existence of a unique positive entropy solution to a singular fractional Laplacian
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Optimal results for the fractional heat equation involving the Hardy potential
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Hitchhiker's guide to the fractional Sobolev spaces
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
- All functions are locally \(s\)-harmonic up to a small error
- On very weak positive solutions to some semilinear elliptic problems with simultaneous singular nonlinear and spatial dependence terms
- Mountain pass solutions for non-local elliptic operators
- Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- Very large solutions for the fractional Laplacian: towards a fractional Keller-Osserman condition
- A fractional order Hardy inequality
- Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian
- Extremal functions for Hardy's inequality with weight
- Positive solutions of fractional elliptic equation with critical and singular nonlinearity
- Dual variational methods in critical point theory and applications
- Semilinear elliptic equations with singular nonlinearities
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Semilinear fractional elliptic equations involving measures
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions
- A concave—convex elliptic problem involving the fractional Laplacian
- On the spectrum of two different fractional operators
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- The best constant in a fractional Hardy inequality
- Variational Methods for Nonlocal Fractional Problems
- Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary
- An Extension Problem Related to the Fractional Laplacian
- Monotonicity and nonexistence results for some fractional elliptic problems in the half-space
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