Results 11 to 20 of about 27,734 (203)
On fractional p-Laplacian problems with weight [PDF]
Differential and Integral Equations, 2014 We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Lehrer, Raquel +2 more
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Nonlinear commutators for the fractional p-Laplacian and applications [PDF]
Mathematische Annalen, 2015 We prove a nonlocal, nonlinear commutator estimate concerning the transfer of derivatives onto testfunctions. For the fractional $p$-Laplace operator it implies that solutions to certain degenerate nonlocal equations are higher differentiable. Also, weak
Schikorra, Armin
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Asymmetric critical fractional p-Laplacian problems
Electronic Journal of Differential Equations, 2017 We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
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Multiplicity for fractional differential equations with p-Laplacian [PDF]
Boundary Value Problems, 2018 This paper investigates the existence of positive solution for a boundary value problem of fractional differential equations with p-Laplacian operator. Our analysis relies on the research of properties of the corresponding Green’s function. By the use of
Yuansheng Tian, Yongfang Wei, Sujing Sun
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The Brezis-Nirenberg problem for the fractional $p$-Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2015 We obtain nontrivial solutions to the Brezis-Nirenberg problem for the fractional $p$-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties. First an explicit
Mosconi, Sunra +3 more
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Critical fractional $p$-Laplacian problems with possibly vanishing potentials
Journal of Mathematical Analysis and Applications, 2015 We obtain nontrivial solutions of a critical fractional $p$-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev ...
Perera, Kanishka +2 more
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Eigenvalues homogenization for the fractional p-Laplacian
Electronic Journal of Differential Equations, 2016 In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates when
Ariel Martin Salort
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Fractional p-Laplacian equations on Riemannian manifolds
Electronic Journal of Differential Equations, 2018 In this article we establish the theory of fractional Sobolev spaces on Riemannian manifolds. As a consequence we investigate some important properties, such as the reflexivity, separability, the embedding theorem and so on.
Lifeng Guo, Binlin Zhang, Yadong Zhang
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Hölder regularity for parabolic fractional p-Laplacian. [PDF]
Calc Var Partial Differ Equ, 2023 AbstractLocal Hölder regularity is established for certain weak solutions to a class of parabolic fractional p-Laplace equations with merely measurable kernels. The proof uses DeGiorgi’s iteration and refines DiBenedetto’s intrinsic scaling method. The control of a nonlocal integral of solutions in the reduction of oscillation plays a crucial role and ...
Liao N.
europepmc +6 more sources
Eigenvalues for systems of fractional $p$-Laplacians [PDF]
Rocky Mountain Journal of Mathematics, 2018 We study the eigenvalue problem for a system of fractional $p-$Laplacians, that is, $$ \begin{cases} (- _p)^r u = \dfrac p|u|^{ -2}u|v|^ &\text{in } ,\vspace{.1cm} (- _p)^s u = \dfrac p|u|^ |v|^{ -2}v &\text{in } , u=v=0 &\text{in } ^c=\R^N\setminus . \end{cases} $$ We show that there is a first (smallest) eigenvalue that
Pezzo, Leandro M. Del, Rossi, Julio D.
openaire +5 more sources