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On the fractional p-Laplacian problems [PDF]
Journal of Inequalities and Applications, 2021 This paper deals with nonlocal fractional p-Laplacian problems with difference. We get a theorem which shows existence of a sequence of weak solutions for a family of nonlocal fractional p-Laplacian problems with difference.
Q-Heung Choi, Tacksun Jung
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On principal frequencies and inradius in convex sets [PDF]
Bruno Pini Mathematical Analysis Seminar, 2018 We generalize to the case of the p-Laplacian an old result by Hersch and Protter. Namely, we show that it is possible to estimate from below the first eigenvalue of the Dirichlet p-Laplacian of a convex set in terms of its inradius. We also prove a lower
Lorenzo Brasco
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Some recent results on singular p-Laplacian equations [PDF]
Demonstratio Mathematica, 2022 A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
U. Guarnotta, R. Livrea, S. Marano
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Hölder regularity for parabolic fractional p-Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2022 Local 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.
Naian Liao
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Anisotropic 𝑝-Laplacian Evolution of Fast Diffusion Type [PDF]
Advanced Nonlinear Studies, 2021 We study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive sharp L1L^{1}-L∞L^{\infty ...
F. Feo, J. Vázquez, B. Volzone
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On the logistic equation for the fractional p‐Laplacian [PDF]
Mathematische Nachrichten, 2021 We consider a Dirichlet problem for a nonlinear, nonlocal equation driven by the degenerate fractional p‐Laplacian, with a logistic‐type reaction depending on a positive parameter.
A. Iannizzotto +2 more
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Normalized solutions for the p-Laplacian equation with a trapping potential
Advances in Nonlinear Analysis, 2023 In this article, we are concerned with normalized solutions for the p p -Laplacian equation with a trapping potential and L r {L}^{r} -supercritical growth, where r = p r=p or 2 . 2.
Chao Wang, Juntao Sun
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The Nehari manifold for a ψ-Hilfer fractional p-Laplacian
Applicable Analysis, 2021 In this paper, we discuss the existence and non-existence of weak solutions to the non-linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by combining the technique of Nehari manifolds and fibering maps. Also, we
José Vanterler da Costa +7 more
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Radial symmetry for a generalized nonlinear fractional p-Laplacian problem
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
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$Kite_{p+2,p}$ is determined by its Laplacian spectrum [PDF]
Transactions on Combinatorics, 2021 $Kite_{n,p}$ denotes the kite graph that is obtained by appending complete graph with order $p\geq4$ to an endpoint of path graph with order $n-p$. It is shown that $Kite_{n,p}$ is determined by its adjacency spectrum for all $p$ and $n$ [H.
Hatice Topcu
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