Existence of three positive solutions for a nonlocal singular Dirichlet boundary problem
From MaRDI portal
Publication:2311831
DOI10.1515/ans-2018-0011zbMath1416.35294arXiv1801.06461OpenAlexW2964002609MaRDI QIDQ2311831
Jacques Giacomoni, Konijeti Sreenadh, Tuhina Mukherjee
Publication date: 4 July 2019
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06461
fractional Laplaciansingular nonlinearitythree positive solutionssub-supersolutionsinfinite semipositone problem
Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (9)
Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities ⋮ On a class of mixed local and nonlocal semilinear elliptic equation with singular nonlinearity ⋮ FRACTIONAL SCHRÖDINGER–POISSON SYSTEM WITH SINGULARITY: EXISTENCE, UNIQUENESS, AND ASYMPTOTIC BEHAVIOR ⋮ Positive solutions for a class of singular discrete Dirichlet problems with a parameter ⋮ Positive solutions for non-variational fractional elliptic systems with negative exponents ⋮ A fractional Laplacian problem with mixed singular nonlinearities and nonregular data ⋮ A multiparameter fractional Laplace problem with semipositone nonlinearity ⋮ The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms
Cites Work
- Unnamed Item
- Unnamed Item
- Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian
- Semilinear problems for the fractional Laplacian with a singular nonlinearity
- Hitchhiker's guide to the fractional Sobolev spaces
- Global bifurcation and local multiplicity results for elliptic equations with singular nonlinearity of super exponential growth in \(\mathbb R^2\)
- A three solution theorem for singular nonlinear elliptic boundary value problems
- A critical fractional equation with concave-convex power nonlinearities
- A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian
- Positive solutions for a class of infinite semipositone problems.
- Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
- Positive solutions for infinite semipositone problems with falling zeros
- Estimates on Green functions and Poisson kernels for symmetric stable processes
- Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian
- Three nontrivial solutions for nonlinear fractional Laplacian equations
- Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
- Positive solutions of fractional elliptic equation with critical and singular nonlinearity
- Existence results for classes of infinite semipositone problems
- Positive solutions to a fractional equation with singular nonlinearity
- Multiplicity results for classes of infinite positone problems
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- On the discrete version of Picone's identity
- Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities
- Critical growth fractional elliptic problem with singular nonlinearities
- A uniqueness result for a singular nonlinear eigenvalue problem
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Variational Methods for Nonlocal Fractional Problems
- An elliptic equation with singular nonlinearity
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- On a dirichlet problem with a singular nonlinearity
- Regularity of an elliptic problem with a singular nonlinearity
- Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term
- Chapter 4 Singular elliptic and parabolic equations
- Fractional p-eigenvalues
- An Extension Problem Related to the Fractional Laplacian
- Nonlocal equations in bounded domains: a survey
This page was built for publication: Existence of three positive solutions for a nonlocal singular Dirichlet boundary problem
