Results 11 to 20 of about 705 (84)
Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity
Advances in Nonlinear Analysis, 2023 In the present article, we are concerned with the following problem: vt=Δv+∣x∣βev,x∈RN,t>0,v(x,0)=v0(x),x∈RN,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{v}_{t}=\Delta v+| x{| }^{\beta }{e}^{v},\hspace{1.0em}& x\in {{\mathbb{R}}}^{N},\hspace{0.
Gao Dongmei, Wang Jun, Wang Xuan
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Numerical Mathematics: Theory, Methods and Applications, 2019 Diagonalized Chebyshev rational spectral methods for solving second-order elliptic problems on the half/whole line are proposed. Some Sobolev bi-orthogonal rational basis functions are constructed which lead to the diagonalization of discrete systems ...
Yanmin Ren
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Advances in Nonlinear Analysis, 2021 We study positive solutions to the steady state reaction diffusion equation of the form:
Acharya A. +3 more
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A Sharp Liouville Theorem for Elliptic Operators [PDF]
, 2010 We introduce a new condition on elliptic operators $L= {1/2}\triangle + b \cdot \nabla $ which ensures the validity of the Liouville property for bounded solutions to $Lu=0$ on $\R^d$. Such condition is sharp when $d=1$.
Priola, Enrico, Wang, Feng-Yu
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Decay of covariances, uniqueness of ergodic component and scaling limit for a class of $\nabla\phi$ systems with non-convex potential [PDF]
, 2008 We consider a gradient interface model on the lattice with interaction potential which is a nonconvex perturbation of a convex potential. Using a technique which decouples the neighboring vertices sites into even and odd vertices, we show for a class of ...
Codina Cotar, J. Deuschel
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Gap localization of TE‐modes by arbitrarily weak defects
Journal of the London Mathematical Society, Volume 95, Issue 3, Page 942-962, June 2017., 2017 Abstract This paper considers the propagation of TE‐modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are modelled by a divergence type equation.
B. M. Brown +4 more
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Three solutions for equations involving nonhomogeneous operators of p-Laplace type in RN
Journal of Inequalities and Applications, 2014 In this paper, we are concerned with the following elliptic equation −div(φ(x,∇u))=λf(x,u)in RN, where the function φ(x,v) is of type |v|p−2v and f:RN×R→R satisfies a Carathéodory condition.
Eun Bee Choi, Yun-Ho Kim
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HOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONS
Mathematika, Volume 61, Issue 2, Page 475-500, May 2015., 2015 We study the system of Maxwell equations for a periodic composite dielectric medium with components whose dielectric permittivities have a high degree of contrast between each other. We assume that the ratio between the permittivities of the components with low and high values of is of the order , where is the period of the medium.
Kirill Cherednichenko, Shane Cooper
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Advanced Nonlinear Studies, 2017 In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene +2 more
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The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem
Journal of Mathematical Study, 2019 We first get an existence and uniqueness result for a nonlinear eigenvalue problem. Then, we establish the constant rank theorem for the problem and use it to get a convexity property of the solution.
Jiuzhou Huang
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