Results 221 to 230 of about 473,820 (257)

Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights

, 2020
In this paper, we consider a class of fractional Laplacian problems of the form: where is a bounded domain and is the fractional -Laplacian. We assume that λ is a nonnegative parameter and is a continuous function.
R. Chammem, A. Ghanmi, A. Sahbani
semanticscholar   +1 more source

Generalized Fraction Evolution Equations with Fractional Gross Laplacian

Fractional Calculus and Applied Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Horrigue, Samah, Ouerdiane, Habib, Salhi, Imen   +2 more
openaire   +1 more source

Multiplicity results for variable-order fractional Laplacian equations with variable growth

Nonlinear Analysis, 2019
In this paper, we study the multiplicity of solutions for an elliptic type problem driven by the variable-order fractional Laplace operator involving variable exponents. More precisely, we consider ( − Δ ) s ( ⋅ ) u + λ V ( x ) u = α | u | p ( x ) − 2 u +
Mingqi Xiang, Binlin Zhang, Di Yang
semanticscholar   +1 more source

Semilinear Dirichlet problem for the fractional Laplacian

, 2020
We give a general framework and results on existence, representation, and uniqueness of solutions to the semilinear problem for the fractional Laplacian with Dirichlet conditions on the complement and at the boundary of general open sets.
K. Bogdan, Sven Jarohs, Edyta Kania
semanticscholar   +1 more source

Interior Regularity for Regional Fractional Laplacian

Communications in Mathematical Physics, 2015
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Chenchen Mou, Yingfei Yi
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On Singular Equations Involving Fractional Laplacian

Acta Mathematica Scientia, 2020
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Youssfi, Ahmed, Ould Mohamed Mahmoud, Ghoulam   +1 more
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The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian

Journal of nonlinear science, 2021
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source

Efficient modeling of wave propagation in a vertical transversely isotropic attenuative medium based on fractional Laplacian

Geophysics, 2019
To efficiently simulate wave propagation in a vertical transversely isotropic (VTI) attenuative medium, we have developed a viscoelastic VTI wave equation based on fractional Laplacian operators under the assumption of weak attenuation ([Formula: see ...
T. Zhu, Tong Bai
semanticscholar   +1 more source

Asymptotically linear fractional p-Laplacian equations

Annali di Matematica Pura ed Applicata (1923 -), 2016
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BARTOLO, Rossella, Molica Bisci, G.
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Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian

Journal of Scientific Computing, 2021
Changtao Sheng, Duo Cao, Jie Shen
semanticscholar   +1 more source