Results 91 to 100 of about 172 (136)

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

A nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology

, 2019
International audienceWe consider the identification problem of the conductivity coefficient for an elliptic operator using an incomplete over specified measures on the surface.
Habbal, Abderrahmane, Zemzemi, Nejib, Rabeb Chamekh, Abderrahmane Habbal, Chamekh, Rabeb, Kallel, Moez, Nejib Zemzemi, Moez Kallel   +7 more
core   +1 more source

Intervals of bifurcation points for semilinear elliptic problems

Advances in Nonlinear Analysis
In this article, we study the behavior of multiple continua of solutions to the semilinear elliptic problem −Δu=λf(u),inΩ,u=0,on∂Ω,\left\{\begin{array}{ll}-\Delta u=\lambda f\left(u),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em ...
Tapia José Carmona, Aparicio Antonio J. Martínez, Martínez-Aparicio Pedro J.   +2 more
doaj   +1 more source

The Regularizing Effect of Lower Order Terms in Elliptic Problems Involving Hardy Potential

Advanced Nonlinear Studies, 2017
We study existence and summability of solutions for elliptic problems with a power-like lower order term and a Hardy potential.We prove that, due to the presence of the lower order term, solutions exist and are more summable under weaker assumptions than
Adimurthi A., Boccardo Lucio, Cirmi G. Rita, Orsina Luigi   +3 more
doaj   +1 more source

A note on a transmission problem for the Brinkman system and the generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains in R³

, 2019
The purpose of this paper is to treat a nonlinear transmission-type problem for a generalized version of the Darcy-Forchheimer-Brinkman system and the classical Brinkman system in complementary Lipschitz domains in R³.
ALBIȘORU, Andrei-Florin
core   +1 more source

On the Dirichlet Problem for the Ekman Equation

, 2007
. The Ekman partial differential equation for the streamfunction of turbulent mass flow in shallow and small sized surface waters is discussed. The Dirichlet problem for the Ekman equation is shown to be well posed in a weighted Sobolev space. Conditions
K. Frischmuth, J. Rossmann
core  

Nonstationary Flows with Viscous Heating Effects

, 1997
. The system of equations describing a nonstationary flow of a quasi-newtonian fluid, with temperature dependent viscosity and with the viscous heating, is considered. Existence of at least one weak solution is proved, i.e.
Andro Mikelic, Thierry Clopeau
core  

Robust Multiscale Identification of Apparent Elastic Properties at Mesoscale for Random Heterogeneous Materials with Multiscale Field Measurements. [PDF]

Materials (Basel), 2020
Zhang T, Pled F, Desceliers C.
europepmc   +1 more source

Second Order Necessary Optimality Conditions For Some State-Constrained Control Problems Of Semilinear Elliptic Equations

, 1996
. In this paper we are concerned with some optimal control problems governed by semilinear elliptic equations. The case of a boundary control is studied.
Eduardo Casas, Fredi Tröltzsch
core  

Uniqueness of the Positive Solution of Δu + f(u) = 0 in an Annulus

, 1991
We give here an extension of the recent result of Kwong (which in turn extended earlier results of Coffman and McLeod and Serrin) on the uniqueness of the positive radial solution of a semilinear elliptic equation.
L. Zhang, Man Kam Kwong, Liqun Zhang
core