Continuum of positive solutions of superlinear fractional Laplacian problems
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Publication:2077127
DOI10.1007/s42985-021-00144-1zbMath1485.35191OpenAlexW4207079220WikidataQ114216460 ScholiaQ114216460MaRDI QIDQ2077127
Maya Chhetri, Elliott Hollifield, Petr Girg
Publication date: 22 February 2022
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-021-00144-1
Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
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- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Regularity theory for general stable operators
- Hitchhiker's guide to the fractional Sobolev spaces
- A critical fractional equation with concave-convex power nonlinearities
- Local elliptic regularity for the Dirichlet fractional Laplacian
- Solutions of a pure critical exponent problem involving the half-Laplacian in annular-shaped domains
- Mountain pass solutions for non-local elliptic operators
- A semilinear wave equation with nonmonotone nonlinearity
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Positive solutions of elliptic non-positone problems
- Positive solutions for some semi-positone problems via bifurcation theory
- Leray-Schauder degree: A half century of extensions and applications
- Elliptic partial differential equations of second order
- On the fractional Lazer-McKenna conjecture with superlinear potential
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- A priori bounds and existence of solutions for some nonlocal elliptic problems
- Three nontrivial solutions for nonlinear fractional Laplacian equations
- Variational methods for non-local operators of elliptic type
- Semilinear Dirichlet problem for the fractional Laplacian
- \(H^s\) versus \(C^0\)-weighted minimizers
- On multiple solutions for nonlocal fractional problems via \(\nabla\)-theorems.
- Existence and multiplicity of weak positive solutions to a class of fractional Laplacian with a singular nonlinearity
- Weak and viscosity solutions of the fractional Laplace equation
- The extremal solution for the fractional Laplacian
- The Brezis-Nirenberg problem for nonlocal systems
- Fronts in anomalous diffusion–reaction systems
- Variational Methods for Nonlocal Fractional Problems
- LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
- Fractional Kinetics in Space
- On the Existence of Positive Solutions of Semilinear Elliptic Equations
- Two weak solutions for perturbed non-local fractional equations
- Nonlocal equations in bounded domains: a survey
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