Fractional p-eigenvalues

2013/07/06 by Giovanni Franzina, Giampiero Palatucci, Franzina, Giovanni +1 · 16 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1307.1789

Abstract

We discuss some basic properties of the eigenfunctions of a class of nonlocal operators whose model is the fractional p-Laplacian.

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• A mixed local-nonlocal Hénon problem in ℝ^N
• Sharp embeddings and existence results for Logarithmic p-Laplacian equations with critical growth
• Existence results for fractional p-Laplacian problems via Morse theory
• On Dirichlet problem for fractional p-Laplacian with singular nonlinearity
• Recent progresses in the theory of nonlinear nonlocal problems
• The Hénon equation in Orlicz-Sobolev spaces
• Critical fractional p-Laplacian problems with possibly vanishing potentials
• On the asymptotic behavior of p-fractional eigenvalues
• Eigenvalues homogenization for the fractional p-Laplacian operator
• Bifurcation and multiplicity results for critical fractional p-Laplacian problems
• The infinity-Fucik spectrum
• On the Second Eigenvalue of Combination Between Local and Nonlocal p-Laplacian
• Maz'ya-type bounds for sharp constants in fractional Poincaré-Sobolev inequalities
• Neumann conditions for the higher order s-fractional Laplacian (-Δ)^su with s>1
• Comparison principle for Singular Fractional g- Laplacian Problems
• Maximal solutions for the Infinity-eigenvalue problem

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