Results 41 to 50 of about 529 (62)

Symmetry breaking of solutions of non-cooperative elliptic systems [PDF]

arXiv, 2013
In this article we study the symmetry breaking phenomenon of solutions of noncooperative elliptic systems. We apply the degree for G-invariant strongly indefinite functionals to obtain simultaneously a symmetry breaking and a global bifurcation phenomenon.
arxiv  

Corner effects on the perturbation of an electric potential

, 2018
We consider the perturbation of an electric potential due to an insulating inclusion with corners. This perturbation is known to admit a multipole expansion whose coefficients are linear combinations of generalized polarization tensors.
Choi, Doo Sung, Helsing, Johan, Lim, Mikyoung   +2 more
core   +1 more source

Commutator Estimates for the Dirichlet-to-Neumann Map in Lipschitz Domains [PDF]

arXiv, 2013
We establish two commutator estimates for the Dirichlet-to-Neumann map associated with a second-order elliptic system in divergence form in Lipschitz domains. Our approach is based on Dahlberg's bilinear estimates.
arxiv  

Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment

Advances in Nonlinear Analysis
This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat.
Liu Jiaxing, Wang Jinliang
doaj   +1 more source

ABP and global Holder estimates for fully nonlinear elliptic equations in unbounded domains [PDF]

arXiv, 2014
We prove global Holder estimates for solution of fully nonlinear elliptic or degenerate elliptic equations in unbounded domains under geometric conditions on the domain a' la Cabre'.
arxiv  

Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition

Advances in Nonlinear Analysis
In this paper, we study coupled elliptic systems with gradient dependent right-hand sides and nonlinear boundary conditions, where the left-hand sides are driven by so-called double phase operators.
Frisch Michal Maria, Winkert Patrick
doaj   +1 more source

General Integral Representation Formula for the Effective Elastic Tensor of Two-phase Composites [PDF]

arXiv, 2009
This paper has been withdrawn by the authors due to a crucial error in eqn 27.
arxiv  

Hardy-Poincare' inequalities with boundary singularities [PDF]

arXiv, 2010
Let $\O$ be a bounded domain in $\R^N$ with $0\in\de\O$ and $N\ge 2$. In this paper we study the Hardy-Poincar\'e inequality for maps in $H^1_0(\Omega)$. In particular we give sufficient and some necessary conditions so that the best constant is achieved.
arxiv  

Standing Waves for Nonautonomous Klein-Gordon-Maxwell Systems [PDF]

, 2019
We study a Klein-Gordon-Maxwell system, in a bounded spatial domain, under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many standing waves.
arxiv   +1 more source

Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period. [PDF]

Commun Nonlinear Sci Numer Simul, 2023
Wang J, Lu H.
europepmc   +1 more source