On the fractional Lazer-McKenna conjecture with superlinear potential
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Publication:1628772
DOI10.1007/s00526-018-1444-5zbMath1403.35311OpenAlexW2902418176WikidataQ123113132 ScholiaQ123113132MaRDI QIDQ1628772
Fethi Mahmoudi, A. Dieb, Boumediene Abdellaoui
Publication date: 10 December 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1444-5
Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Topological and monotonicity methods applied to PDEs (35A16)
Related Items (2)
On the fractional Lazer-McKenna conjecture with critical growth ⋮ Continuum of positive solutions of superlinear fractional Laplacian problems
Cites Work
- Unnamed Item
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- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
- The Pohozaev identity for the fractional Laplacian
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- Classification of positive solitary solutions of the nonlinear Choquard equation
- On the superlinear Lazer-McKenna conjecture: the non-homogeneous case
- Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof.
- On the superlinear Lazer-McKenna conjecture
- On the inversion of some differentiable mappings with singularities between Banach spaces
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Semilinear fractional elliptic equations involving measures
- Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions
- Uniqueness of Radial Solutions for the Fractional Laplacian
- On a conjecture related to the number of solutions of a nonlinear Dirichlet problem
- A Note on the Topological Degree at a Critical Point of Mountainpass-Type
- Variational Methods for Nonlocal Fractional Problems
- Solutions with boundary layer and positive peak for an elliptic Dirichlet problem
- A pointwise estimate for fractionary derivatives with applications to partial differential equations
- On the Superlinear Lazer–McKenna Conjecture: Part II
- Multiplicity results for some nonlinear Schrödinger equations with potentials
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