Results 41 to 50 of about 1,129 (70)

Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

Demonstratio Mathematica
Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
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A-priori bounds for quasilinear problems in critical dimension

Advances in Nonlinear Analysis, 2019
We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
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Mathematical models of cell self-organization

Journal of the Egyptian Mathematical Society, 2011
Various classes of Partial Differential Equations have shown to be successful in describing the self-organization of bacterial colonies, a topic also sometimes called socio-biology. For instance parabolic systems are standard; the classical Patlak–Keller–
Benoît Perthame
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A symmetrization result for a class of anisotropic elliptic problems

, 2017
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.Comment: arXiv admin note: text overlap with arXiv:1607 ...
Alberico, Angela, di Blasio, Giuseppina, Feo, Filomena   +2 more
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Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth

Advances in Nonlinear Analysis, 2014
We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth.
Erhardt André
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On global existence and nonexistence of solutions to a quasi-linear wave equation with memory, nonlinear damping and source terms

Scientific African, 2021
In this paper, we consider a quasi-linear wave equation with memory, nonlinear source and damping termsutt−Δut−∑i=1n∂∂xiσi(uxi)+∫0tm(t−s)Δuds+f(ut)=g(u).Under some polynomial growth conditions on the nonlinear functions σi(i=1,2,…,n),  f and g, we obtain
Paul A. Ogbiyele
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Normalized solutions of Schrödinger equations involving Moser-Trudinger critical growth

Advances in Nonlinear Analysis
In this article, we are concerned with the nonlinear Schrödinger equation −Δu+λu=μ∣u∣p−2u+f(u),inR2,-\Delta u+\lambda u=\mu {| u| }^{p-2}u+f\left(u),\hspace{1em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{2}, having prescribed ...
Li Gui-Dong, Zhang Jianjun
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On subsolutions and concavity for fully nonlinear elliptic equations

Advanced Nonlinear Studies
Subsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
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Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

Demonstratio Mathematica
The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
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p-Laplacian Equations in ℝN with Finite Potential via the Truncation Method

Advanced Nonlinear Studies, 2017
We consider the problem -Δp⁢u+a⁢(x)⁢|u|p-2⁢u=|u|q-2⁢u{-\Delta_{p}u+a(x)\lvert u\rvert^{p-2}u=\lvert u\rvert^{q-2}u} in ℝN{\mathbb{R}^{N}}, where ...
Liu Xiangqing, Zhao Junfang
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