Results 11 to 20 of about 43,657 (228)
Asymmetric critical fractional p-Laplacian problems [PDF]
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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Fractional p-Laplacian equations on Riemannian manifolds [PDF]
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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The parabolic p-Laplacian with fractional differentiability [PDF]
IMA Journal of Numerical Analysis, 2020 Abstract We study the parabolic $p$-Laplacian system in a bounded domain. We deduce optimal convergence rates for the space–time discretization based on an implicit Euler scheme in time. Our estimates are expressed in terms of Nikolskiǐ spaces and therefore cover situations when the (gradient of the) solution has only fractional ...
Breit, Dominic +3 more
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The Brezis–Nirenberg problem for the fractional p-Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2016 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 formula for a minimizer in the fractional Sobolev inequality is not available when $p \ne 2$.
MOSCONI, SUNRA JOHANNES NIKOLAJ +3 more
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Asymptotically linear fractional p-Laplacian equations [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOLO, Rossella, Molica Bisci, G.
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On fractional $p$-Laplacian problems with weight [PDF]
Differential and Integral Equations, 2015 10 ...
Lehrer, R., Maia, L., Squassina, Marco
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Higher differentiability for the fractional p-Laplacian [PDF]
Mathematische AnnalenAbstract In this work, we study the higher differentiability of solutions to the inhomogeneous fractional p-Laplace equation under different regularity assumptions on the data. In the superquadratic case, we extend and sharpen several previous results, while in the subquadratic regime our results constitute completely novel developments even ...
Diening, Lars +3 more
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Calderón–Zygmund Estimates for the Fractional p-Laplacian [PDF]
Annals of PDEAbstract We prove fine higher regularity results of Calderón-Zygmund-type for equations involving nonlocal operators modelled on the fractional p-Laplacian with possibly discontinuous coefficients of VMO-type. We accomplish this by establishing precise pointwise bounds in terms of certain fractional sharp maximal functions.
Diening, Lars, Nowak, Simon Noah
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Fractional p&q-Laplacian problems with potentials vanishing at infinity [PDF]
Opuscula Mathematica, 2020 In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional \(p\&q\)-Laplacian problems \[\begin{aligned} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(
Teresa Isernia
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Existence theorems for fractional p-Laplacian problems [PDF]
Analysis and Applications, 2016 The paper focuses on the existence of nontrivial solutions of a nonlinear eigenvalue perturbed problem depending on a real parameter [Formula: see text] under homogeneous boundary conditions in bounded domains with Lipschitz boundary. The problem involves a weighted fractional [Formula: see text]-Laplacian operator.
P. Piersanti, PUCCI, Patrizia
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