Results 31 to 40 of about 321 (57)

Limit solutions of the Chern-Simons equation

, 2012
We investigate the scalar Chern-Simons equation $-\Delta u + e^u(e^u-1) = \mu$ in cases where there is no solution for a given nonnegative finite measure $\mu$. Approximating $\mu$ by a sequence of nonnegative $L^1$ functions or finite measures for which
Ponce, Augusto C., Presoto, Adilson E.
core   +1 more source

Global stability and asymptotic profiles of a partially degenerate reaction diffusion Cholera model with asymptomatic individuals

Advances in Nonlinear Analysis
Considering the prevalence of asymptomatic individuals during the spread of disease, this article develops a model of degenerate reaction diffusion Cholera with asymptomatic individuals. First, the well-posedness of model is studied, including the global
Wang Shengfu, Nie Linfei
doaj   +1 more source

Neumann functions for second order elliptic systems with measurable coefficients

, 2012
We study Neumann functions for divergence form, second order elliptic systems with bounded measurable coefficients in a bounded Lipschitz domain or a Lipschitz graph domain.
Choi, Jongkeun, Kim, Seick
core   +1 more source

Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment

Advances in Nonlinear Analysis
This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat.
Liu Jiaxing, Wang Jinliang
doaj   +1 more source

Boundedness of solutions to quasilinear elliptic systems

Advances in Nonlinear Analysis
This article deals with elliptic systems of the form −∑i=1n∂∂xi∑β=1N∑j=1nai,jα,β(x,u(x))∂uβ(x)∂xj=fα(x),α=1,…,N.-\mathop{\sum }\limits_{i=1}^{n}\frac{\partial }{\partial {x}_{i}}\left(\mathop{\sum }\limits_{\beta =1}^{N}\mathop{\sum }\limits_{j=1}^{n}{a ...
Mi Fang, Liuye Xia, Yingxiao Han, Hongya Gao   +3 more
doaj   +1 more source

Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition

Advances in Nonlinear Analysis
In this paper, we study coupled elliptic systems with gradient dependent right-hand sides and nonlinear boundary conditions, where the left-hand sides are driven by so-called double phase operators.
Frisch Michal Maria, Winkert Patrick
doaj   +1 more source

Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period. [PDF]

Commun Nonlinear Sci Numer Simul, 2023
Wang J, Lu H.
europepmc   +1 more source

Analysis on a Diffusive SI Epidemic Model with Logistic Source and Saturation Infection Mechanism. [PDF]

Bull Malays Math Sci Soc, 2022
Dong L, Li B, Zhang G.
europepmc   +1 more source

Elliptic Regularity Theory Applied to Time Harmonic Anisotropic Maxwell's Equations with Less than Lipschitz Complex Coefficients [PDF]

SIAM Journal on Mathematical Analysis, 2014
The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equations with anisotropic complex coefficients, in a bounded domain with $C^{1,1}$ boundary. We assume that at least one of the material parameters is $W^{1,
Giovanni S Alberti, Yves Capdeboscq
exaly   +5 more sources

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Global $L^\infty$-bounds and Long-time Behavior of a Diffusive Epidemic System in A Heterogeneous Environment

SIAM Journal on Mathematical Analysis, 2021
Yixiang Wu
exaly