Results 51 to 60 of about 1,349 (111)

Einstein manifolds of non-negative sectional curvature and entropy

, 2000
We find obstructions to the existence of Einstein metrics of non-negative sectional curvature on a smooth closed simply connected manifold of any dimension.
Paternain, Gabriel, Petean, Jimmy
core   +1 more source

Hölder estimates for linear second order equations [PDF]

, 2010
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
arxiv   +1 more source

Strong uniqueness for second order elliptic operators with Gevrey coefficients

, 2006
We consider here the problem of strong unique continuation property at zero, for second order elliptic operators P = P (x,D) with complex coefficients. For such operators we obtain this property by means of suitable Carleman’s estimates in Gevrey classes
F. Colombini, C. Grammatico, D. Tataru
semanticscholar   +1 more source

New maximum principles for linear elliptic equations

, 2006
We prove extensions of the estimates of Aleksandrov and Bakel$'$man for linear elliptic operators in Euclidean space $\Bbb{R}^{\it n}$ to inhomogeneous terms in $L^q$ spaces for $q < n$.
Kuo, Hung-Ju, Trudinger, Neil S.
core   +1 more source

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

W2,2 Interior convergence for some class of elliptic anisotropic singular perturbation problems

, 2017
In this paper, we deal with anisotropic singular perturbations of some class of elliptic problem. We study the asymptotic behavior of the solution in certain second order pseudo Sobolev space.Comment: some changes: title, some additions.., the results ...
Chokri, Ogabi
core   +2 more sources

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

Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

Advanced Nonlinear Studies, 2020
In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

On a generalized Kirchhoff equation with sublinear nonlinearities

, 2016
In this paper we consider a generalized Kirchhoff? equation in a bounded domain under the effect of a sublinear nonlinearity. Under suitable assumptions on the data of the problem we show that, with a simple change of variable, the equation can be ...
Júnior, João R. Santos, Siciliano, Gaetano   +1 more
core   +1 more source

Normalized solutions for Sobolev critical fractional Schrödinger equation

Advances in Nonlinear Analysis
In the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing, Nie Jianjun, Wang Wenbo, Zhou Jianwen   +3 more
doaj   +1 more source