A multiplicity results for a singular problem involving the fractionalp-Laplacian operator

DOI10.1080/17476933.2016.1154548zbMath1346.35212OpenAlexW2317846345MaRDI QIDQ5739366

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Publication date: 15 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1154548

zbMATH Keywords

multiple positive solutionsfibering mapsmethod of Nehari manifold\(p\)-fractional Laplace operator

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Fractional partial differential equations (35R11)

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Cites Work

• Existence results for fractional \(p\)-Laplacian problems via Morse theory
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• On a class of semilinear fractional elliptic equations involving outside Dirac data
• An exact estimate result for a class of singular equations with critical exponents
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Mountain pass solutions for non-local elliptic operators
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Multiplicity of positive solutions for a singular and critical problem
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Nehari manifold and existence of positive solutions to a class of quasilinear problems
• Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
• Existence of minimizers of functionals involving the fractional gradient in the absence of compactness, symmetry and monotonicity
• On the optimality of the assumptions used to prove the existence and symmetry of minimizers of some fractional constrained variational problems
• On a singular nonlinear dirichlet problem
• MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SINGULAR AND CRITICAL ELLIPTIC PROBLEM IN ℝ²
• Lévy Processes and Stochastic Calculus
• On a dirichlet problem with a singular nonlinearity
• Positive solutions for the p-Laplacian: application of the fibrering method
• Symmetry of minimizers of some fractional problems
• Existence of multiple solutions for a singular and quasilinear equation
• An Extension Problem Related to the Fractional Laplacian
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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