Results 1 to 10 of about 60,869 (311)
Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group [PDF]
Heliyon, 2022 In this paper, sufficient conditions are obtained for the nonexistence of solutions to the Cauchy problems for ultra-parabolic equations involving fractional Laplacian operator. The nonexistence result is also extended to the corresponding system.
Birilew Belayneh Tsegaw
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Bulletin of Mathematical Sciences, 2022 In this paper, we investigate various properties (e.g. nonexistence, asymptotic behavior, uniqueness and integral representation formula) of positive solutions to nonlinear tri-harmonic equations in [Formula: see text] ([Formula: see text]) and bi ...
Wei Dai, Jingze Fu
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AIMS Mathematics, 2022 In this paper, we consider a two-times nonlinear fractional differential inequality involving both Hadamard-Caputo and Caputo fractional derivatives of different orders, with a singular potential term.
Ibtehal Alazman +2 more
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Mathematics, 2021 In this paper, we study the nonexistence of global weak solutions to higher-order time-fractional evolution inequalities with subcritical degeneracy. Using the test function method and some integral estimates, we establish sufficient conditions depending
Ravi P. Agarwal +3 more
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Fractal and Fractional, 2022 In this paper, we study the existence and nonexistence of positive solutions of a system of Riemann–Liouville fractional differential equations with ϱ-Laplacian operators, supplemented with coupled nonlocal boundary conditions containing Riemann ...
Johnny Henderson +2 more
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Advances in Nonlinear Analysis, 2023 This work is concerned with the nonexistence of nontrivial nonnegative weak solutions for a quasilinear parabolic differential inequality with weighted nonlocal source term in the whole space, which involves weighted polytropic filtration operator or ...
Li Yuepeng, Fang Zhong Bo
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Generalized Picone inequalities and their applications to (p,q)-Laplace equations
Open Mathematics, 2020 We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
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Интеллект. Инновации. Инвестиции, 2020 The article examines ontological issues in Russian literary modernism philosophy. The relevance of the topic is due to the affinity of the processes that determine the dominants of the worldview in the field of education and modernity.
S.L. Slobodnyuk
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A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary
Fractal and Fractional, 2023 A Schrödinger equation with a time-fractional derivative, posed in (0,∞)×I, where I=]a,b], is investigated in this paper. The equation involves a singular Hardy potential of the form λ(x−a)2, where the parameter λ belongs to a certain range, and a ...
Ibtehal Alazman +2 more
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On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice [PDF]
, 2018 We consider a one-dimensional discrete nonlinear Schr{\"o}dinger (dNLS) model featuring interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) of phase-shift discrete solitons, which correspond to four-sites vortex ...
Kevrekidis, P. G. +4 more
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