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Green functions and smooth distances. [PDF]
Feneuil J, Li L, Mayboroda S.
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On some singular nonlinear problems for monotone elliptic operators
Rendiconti Lincei - Matematica e Applicazioni, 2019The goal of this note is to study some class of problems associated to nonlinear operators of the p-Laplacian type with source term having a singularity at the origin. AMS Subject Classification: 35J15, 35J25, 35J60, 35J65, 35J75, 35J92.
M. Chipot
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Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
, 2016It is known that large time-stepping method are useful for simulating phase field models. In this work, an adaptive time-stepping strategy is proposed based on numerical energy stability and equi-distribution principle. The main idea is to use the energy
F. Luo, Tao Tang, Hehu Xie
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General Uniqueness Results and Variation Speed for Blow‐Up Solutions of Elliptic Equations
, 2005Let Ω be a smooth bounded domain in RN. We prove general uniqueness results for equations of the form − Δ u = au − b(x) f(u) in Ω, subject to u = ∞ on ∂ Ω.
F. Cîrstea, Yihong Du
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Multi‐Bubble Solutions for Slightly Super‐Critical Elliptic Problems in Domains with Symmetries
, 2003The aim of this paper is to show the existence of solutions with an arbitrarily large number of bubbles for the slightly super‐critical elliptic problem −Δu=u(N+2)/(N−2)+ε in Ω, subject to the conditions that u > 0 in Ω, and u = 0 on σΩ, where ε > 0 is a
Manuel del Pino, P. Felmer, M. Musso
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Absolute Continuity in Periodic Waveguides
, 2002We study second order elliptic operators with periodic coefficients in two‐dimensional simply connected periodic waveguides with the Dirichlet or Neumann boundary conditions.
A. Sobolev, Jon Walthoe
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Nonconforming Mixed Finite Element Method for Time-dependent Maxwell's Equations with ABC
, 2016In this paper, a nonconforming mixed finite element method (FEM) is presented to approximate time-dependent Maxwell’s equations in a three-dimensional bounded domain with absorbing boundary conditions (ABC).
C. Yao, D. Shi
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Internal monochromatic wave propagating over two bars
, 2015Wave propagation in two-fluid system of different density is considered over two bars. The wave is monochromatic, and its dispersion relation is determined, for infinite depth of the upper fluid, which involves the physical quantities for each layers, i ...
L. Wiryanto, S. Mungkasi
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, 2018
In this paper, we present a new monotone finite volume scheme for the steady state convection-diffusion equation. The discretization of diffusive flux [33] is utilised and a new corrected upwind scheme with second order accuracy for the discretization of
Bin Lan, Z. Sheng, G. Yuan
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In this paper, we present a new monotone finite volume scheme for the steady state convection-diffusion equation. The discretization of diffusive flux [33] is utilised and a new corrected upwind scheme with second order accuracy for the discretization of
Bin Lan, Z. Sheng, G. Yuan
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