Stability Of contact discontinuity for steady Euler System in infinite duct [PDF]
, 2011 In this paper, we prove structural stability of contact discontinuities for full Euler system.
arxiv +1 more source
Global Dynamics of Generalized Logistic Equations
Advanced Nonlinear Studies, 2018 We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
doaj +1 more source
On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents [PDF]
arXiv, 2016 We consider the following nonlinear Choquard equation with Dirichlet boundary condition $$-\Delta u =\left(\int_{\Omega}\frac{|u|^{2_{\mu}^{\ast}}}{|x-y|^{\mu}}dy\right)|u|^{2_{\mu}^{\ast}-2}u+\lambda f(u)\hspace{4.14mm}\mbox{in}\hspace{1.14mm} \Omega, $$ where $\Omega$ is a smooth bounded domain of $\mathbb{R}^N$, $\lambda>0$, $N\geq3$, $0<\mu
arxiv
Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
europepmc +1 more source
Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems
Advanced Nonlinear Studies, 2019 We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel +2 more
doaj +1 more source
Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures [PDF]
arXiv, 2003 We define a notion of quasi-static evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evolution converges to a quasi-static growth of brittle fractures in linearly elastic bodies.
arxiv
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Comput Math Appl, 2023 Guan Q, Queisser G, Zhao W.
europepmc +1 more source
Landesman-Laser Conditions and Quasilinear Elliptic Problems [PDF]
arXiv, 2003 In this paper we consider two elliptic problems. The first one is a Dirichlet problem while the second is Neumann. We extend all the known results concerning Landesman-Laser conditions by using the Mountain-Pass theorem with the Cerami $(PS)$ condition.
arxiv
On the scattering for the $\bar{\partial}$- equation and reconstruction of convection terms [PDF]
arXiv, 2004 In this paper we reconstruct convection terms from boundary measurements.We reduce the Beals and Coifman inverse scattering scattering formalism from a first order system to a formalism for the $\bar{\partial}$ equation.
arxiv
Ground state solution of a nonlocal boundary-value problem
, 2013 In this paper, we apply the method of the Nehari manifold to study the Kirchhoff type equation \begin{equation*} -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) \end{equation*} submitted to Dirichlet boundary conditions.
Batkam, Cyril Joel
core +1 more source