Results 21 to 30 of about 64,698 (263)
Perturbation in a Free Boundary Problem
Journal of Mathematical Analysis and Applications, 1994 This paper is concerned with the Dirichlet boundary value problem for a semilinear elliptic partial differential equation with a discontinuous nonlinearity on the unit ball \(B\) in \(\mathbb{R}^2\). Precisely, the authors consider the problem for \(u\) with two positive parameters \(\lambda\) and \(\varepsilon\): \[ - \Delta u= (\lambda+ \varepsilon g(
Boucherif, Abdelkader, Bouguima, Mohamed
openaire +2 more sources
Two-Phase Free Boundary Problems: From Existence to Smoothness
Advanced Nonlinear Studies, 2017 We describe the theory we developed in recent times concerning two-phasefree boundary problems governed by elliptic operators with forcing terms.Our results range from existence of viscosity solutions to smoothness ofboth solutions and free boundaries ...
De Silva Daniela +2 more
doaj +1 more source
An elliptic problem of the Prandtl–Batchelor type with a singularity
Boundary Value Problems, 2023 We establish the existence of at least two solutions of the Prandtl–Batchelor like elliptic problem driven by a power nonlinearity and a singular term. The associated energy functional is nondifferentiable, and hence the usual variational techniques do ...
Debajyoti Choudhuri, Dušan D. Repovš
doaj +1 more source
Compactness estimates for minimizers of the Alt-Phillips functional of negative exponents
Advanced Nonlinear Studies, 2023 We investigate the rigidity of global minimizers u≥0u\ge 0 of the Alt-Phillips functional involving negative power potentials ∫Ω(∣∇u∣2+u−γχ{u>0})dx,γ∈(0,2),\mathop{\int }\limits_{\Omega }(| \nabla u{| }^{2}+{u}^{-\gamma }{\chi }_{\left\{u\gt 0\right\}}){\
De Silva Daniela, Savin Ovidiu
doaj +1 more source
A free boundary problem with nonlinear jump and kinetics on the free boundaries [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1999 A free boundary problem with nonlinear jump and kinetics on the free boundaries \[ \begin{cases} \Delta u=0\quad & \text{in }\Omega_1(t)=\{(x,y)\in\mathbb{R}^2: g_2(x,t)
openaire +2 more sources
Nonlinear Two-Phase Stefan Problem [PDF]
Journal of Sciences, Islamic Republic of Iran, 2007 In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
K. Ivaz
doaj
Solving boundary value problems in the open source software R: package bvpSolve [PDF]
Opuscula Mathematica, 2014 The R package bvpSolve for the numerical solution of Boundary Value Problems (BVPs) is presented. This package is free software which is distributed under the GNU General Public License, as part of the R open source software project.
Francesca Mazzia +2 more
doaj +1 more source
A Free Boundary Problem for the Predator–Prey Model with Double Free Boundaries [PDF]
Journal of Dynamics and Differential Equations, 2015 25 ...
Wang, Mingxin, Zhao, Jingfu
openaire +3 more sources
A free boundary problem for the -Laplacian [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 We consider the optimization problem of minimizing $\int_Ω|\nabla u|^{p(x)}+ λχ_{\{u>0\}} dx$ in the class of functions $W^{1,p(\cdot)}(Ω)$ with $u-ϕ_0\in W_0^{1,p(\cdot)}(Ω)$, for a given $ϕ_0\geq 0$ and bounded. $W^{1,p(\cdot)}(Ω)$ is the class of weakly differentiable functions with $\int_Ω|\nabla u|^{p(x)} dx0\}$, is a regular surface.
Fernandez Bonder, Julian +2 more
openaire +4 more sources
On a variational principle for shape optimization and elliptic free boundary problems
Revista de Matemática: Teoría y Aplicaciones, 2009 A variational principle for several free boundary value problems using a relaxation approach is presented. The relaxed Energy functional is concave and it is defined on a convex set, so that the minimizing points are characteristic functions of sets.
Raúl B. González De Paz
doaj +1 more source