Results 71 to 76 of about 368 (76)

Global regularity of solutions to quasilinear conormal derivative problem with controlled growth [PDF]

arXiv, 2011
We prove the global regularity of weak solutions to the conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.
arxiv  

Nonlinear Elasticity from Atomistic Mechanics [PDF]

arXiv, 2012
We present sharp convergence results for the Cauchy--Born approximation of general classical atomistic interactions, for both static and dynamic problems, for small data.
arxiv  

On explosive solutions for a class of quasi-linear elliptic equations [PDF]

arXiv, 2012
We study existence, uniqueness, multiplicity and symmetry of large solutions for a class of quasi-linear elliptic equations. Furthermore, we characterize the boundary blow-up rate of solutions, including the case where the contribution of boundary curvature appears.
arxiv  

Regularity and Uniqueness of p-harmonic Maps with Small Range [PDF]

arXiv, 2012
We prove the uniqueness of solutions to Dirichlet problem for p-harmonic maps with images in a small geodesic ball of the target manifold. As a consequence, we show that such maps have Hoelder continuous derivatives. This gives an extension of a result by S. Hildebrandt et al concerning harmonic maps.
arxiv  

Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space

Nonautonomous Dynamical Systems
In this article, we consider a nonlinear elliptic unilateral equation whose model is −∑i=1N∂iσi(x,u,∇u)+L(x,u,∇u)+N(x,u,∇u)=μ−divϕ(u)inΩ.-\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u ...
Bouzelmate Arij, El Haji Badr, Lamtarah Adnan   +2 more
doaj   +1 more source

Entire radial bounded solutions for Leray-Lions equations of (p, q)-type

Advances in Nonlinear Analysis
We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type.
Mennuni Federica, Mugnai Dimitri, Salvatore Addolorata   +2 more
doaj   +1 more source