Results 21 to 30 of about 408 (69)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This paper’s main motivation is to study the notion of weighted pseudo almost automorphic (𝒲𝒫𝒜𝒜) functions and establish the existence results of piecewise continuous mild solution of fractional order integro-differential equation with instantaneous ...
Kavitha Velusamy +3 more
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Advances in Nonlinear Analysis, 2019 This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Xiang Mingqi +2 more
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Integro-differential systems with variable exponents of nonlinearity
Open Mathematics, 2017 Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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The Brezis–Nirenberg problem for nonlocal systems
Advances in Nonlinear Analysis, 2016 By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and ...
Faria Luiz F. O. +4 more
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Nonlocal and mixed models with Lavrentiev Gap [PDF]
arXiv, 2023 We present a general framework for constructing examples on Lavrentiev energy gap for nonlocal problems and apply it to several nonlocal and mixed models of double-phase type.
arxiv
Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations
Advances in Nonlinear Analysis, 2016 The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia +2 more
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Local Hölder continuity for fractional nonlocal equations with general growth [PDF]
arXiv, 2021 We study generalized fractional $p$-Laplacian equations to prove local boundedness and H\"older continuity of weak solutions to such nonlocal problems by finding a suitable fractional Sobolev-Poincar\'e inquality.
arxiv
Maximum principle for stable operators [PDF]
arXiv, 2022 We prove a weak maximum principle for nonlocal symmetric stable operators. This includes the fractional Laplacian. The main focus of this work is the regularity of the considered function.
arxiv
Advanced Nonlinear StudiesIn this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
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Harnck inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions [PDF]
arXiv, 2022 H\"older estimates and Harnack inequalities are studied for fully nonlinear integro-differential equations under some mild assumptions. We allow the kernels of variable order and critically close to 2.
arxiv