Results 1 to 10 of about 43,664 (246)
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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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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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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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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The parabolic p-Laplacian with fractional differentiability [PDF]
IMA Journal of Numerical Analysis, 2020 Breit D, Diening L, Storn J, Wichmann J. The parabolic p-Laplacian with fractional differentiability. 2020.We study the parabolic p-Laplacian system in a bounded domain.
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.
Squassina, Marco
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Nonlinear Analysis, 2022 In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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Asymptotically linear fractional p-Laplacian equations
Annali di Matematica Pura ed Applicata (1923 -), 2017 In this paper we study the multiplicity of weak solutions to (possibly resonant) nonlocal equations involving the fractional p-Laplacian operator. More precisely, we consider a Dirichlet problem driven by the fractional p-Laplacian operator and involving
Molica Bisci G, Bartolo R
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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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On fractional p-Laplacian problems with weight
Differential and Integral Equations, 2015 We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Raquel Lehrer +3 more
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