Results 51 to 60 of about 169 (82)

Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

Open Mathematics, 2016
We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients.
Guliyev Vagif S., Omarova Mehriban N.
doaj   +1 more source

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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Imbedding inequalities with Lφ-norms for composite operators

, 2013
In this paper, we prove imbedding inequalities with Lφ-norms for the composition of the potential operator and homotopy operator applied to differential forms.
Yuming Xing, S. Ding
semanticscholar   +1 more source

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
doaj  

Schauder estimates on bounded domains for KFP operators with coefficients measurable in time and Hölder continuous in space

Analysis and Geometry in Metric Spaces
We consider degenerate Kolmogorov-Fokker-Planck operators ℒu=∑i,j=1qaij(x,t)uxixj+∑k,j=1Nbjkxkuxj−ut,{\mathcal{ {\mathcal L} }}u=\mathop{\sum }\limits_{i,j=1}^{q}{a}_{ij}\left(x,t){u}_{{x}_{i}{x}_{j}}+\mathop{\sum }\limits_{k,j=1}^{N}{b}_{jk}{x}_{k}{u}_{{
Biagi Stefano, Bramanti Marco
doaj   +1 more source

The interior curvature bounds for a class of curvature quotient equations

Advanced Nonlinear Studies
For elliptic partial differential equations, the pure interior C 2 estimates and Pogorelov type estimates are important issues. In this paper, we study the interior estimates of Γk̃ $\tilde {{{\Gamma}}_{k}}$ -admissible solutions for curvature quotient ...
Jia Haohao
doaj   +1 more source

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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Doubly Critical Problems Involving Fractional Laplacians in ℝN

Advanced Nonlinear Studies, 2017
In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
doaj   +1 more source

Quasilinear elliptic systems in divergence form associated to general nonlinearities

Advances in Nonlinear Analysis, 2018
The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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A Diffusion Equation with a Variable Reaction Order

Advanced Nonlinear Studies, 2018
This paper deals with the ...
García-Melián Jorge, Rossi Julio D., Sabina de Lis José C.   +2 more
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