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Results 1 - 10
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4,999
A PRIORI ESTIMATES FOR THE SCALAR CURVATURE EQUATION ON S³
, 2004
"... We obtain a priori estimates for solutions to the prescribed scalar curvature equation on S³. The usual non-degeneracy assumption on the curvature function is replaced by a new condition, which is necessary and sufficient for the existence of a priori estimates, when the curvature function is a po ..."
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Cited by 1 (0 self)
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We obtain a priori estimates for solutions to the prescribed scalar curvature equation on S³. The usual non-degeneracy assumption on the curvature function is replaced by a new condition, which is necessary and sufficient for the existence of a priori estimates, when the curvature function is a
Optimal a Priori Estimates for Interface Problems
- Numer. Math
, 2003
"... We consider a priori estimates in weighted norms for interface problems with piecewise constant diffusion constants which do not depend on the ratio between the constants. Our result generalizes an estimate of Lemrabet to arbitrary dimensions and includes curved boundaries. Furthermore, we discuss c ..."
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Cited by 8 (0 self)
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We consider a priori estimates in weighted norms for interface problems with piecewise constant diffusion constants which do not depend on the ratio between the constants. Our result generalizes an estimate of Lemrabet to arbitrary dimensions and includes curved boundaries. Furthermore, we discuss
WEIGHTED A PRIORI ESTIMATES FOR POISSON EQUATION
"... Abstract. Let Ω be a bounded domain in Rn with ∂Ω ∈ C2 and let u be a solution of the classical Poisson problem in Ω; i.e., −∆u = f in Ω u = 0 on ∂Ω where f ∈ Lpω(Ω) and ω is a weight in Ap. The main goal of this paper is to prove the following a priori estimate ..."
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Cited by 5 (3 self)
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Abstract. Let Ω be a bounded domain in Rn with ∂Ω ∈ C2 and let u be a solution of the classical Poisson problem in Ω; i.e., −∆u = f in Ω u = 0 on ∂Ω where f ∈ Lpω(Ω) and ω is a weight in Ap. The main goal of this paper is to prove the following a priori estimate
A priori estimate for non-uniform elliptic equations
, 2011
"... A priori estimate for non-uniform elliptic equations with periodic boundary conditions is concerned. The domain considered consists of two sub-regions, a connected high permeability region and a disconnected matrix block region with low permeability. Let denote the size ratio of one matrix block to ..."
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A priori estimate for non-uniform elliptic equations with periodic boundary conditions is concerned. The domain considered consists of two sub-regions, a connected high permeability region and a disconnected matrix block region with low permeability. Let denote the size ratio of one matrix block
Proportionality of components, Liouville theorems and a priori estimates . . .
, 2014
"... We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori estimates and existence of positive solutions for ..."
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We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori estimates and existence of positive solutions
Existence and a priori estimates for Euclidean Gibbs states
- Trans. Moscow Math. Soc
, 2006
"... We prove a priori estimates and, as sequel, existence of Euclidean Gibbs states for quantum lattice systems. For this purpose we develop a new analytical approach, the main tools of which are: first, a characterization of the Gibbs states in terms of their Radon–Nikodym derivatives under shift trans ..."
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Cited by 3 (3 self)
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We prove a priori estimates and, as sequel, existence of Euclidean Gibbs states for quantum lattice systems. For this purpose we develop a new analytical approach, the main tools of which are: first, a characterization of the Gibbs states in terms of their Radon–Nikodym derivatives under shift
A priori estimates for the Hill and Dirac operators
, 2008
"... Consider the Hill operator Ty = −y ′ ′ + q ′ (t)y in L 2 (R), where q ∈ L 2 (0,1) is a 1-periodic real potential. The spectrum of T is is absolutely continuous and consists of bands separated by gaps γn,n � 1 with length |γn | � 0. We obtain a priori estimates of the gap lengths, effective masses, ..."
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Cited by 1 (1 self)
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Consider the Hill operator Ty = −y ′ ′ + q ′ (t)y in L 2 (R), where q ∈ L 2 (0,1) is a 1-periodic real potential. The spectrum of T is is absolutely continuous and consists of bands separated by gaps γn,n � 1 with length |γn | � 0. We obtain a priori estimates of the gap lengths, effective masses
Interior a priori estimates for solutions of fully nonlinear equations
- Ann. of Math
, 1989
"... ABSTRACT. We derive an a prioriC 2,α estimate for solutions of the fully non-linear elliptic equationF(D 2 u) = 0, provided the level setΣ={M|F(M)=0} satisfies: (a)Σ∩{M|TrM= t} is strictly convex for all constants t; (b) the angle between the identity matrixI and the normalFij toΣis strictly positi ..."
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Cited by 135 (4 self)
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ABSTRACT. We derive an a prioriC 2,α estimate for solutions of the fully non-linear elliptic equationF(D 2 u) = 0, provided the level setΣ={M|F(M)=0} satisfies: (a)Σ∩{M|TrM= t} is strictly convex for all constants t; (b) the angle between the identity matrixI and the normalFij toΣis strictly
A PRIORI ESTIMATES FOR SOLUTIONS OF A NONLINEAR DISPERSIVE EQUATION
, 2005
"... Abstract. In this work we obtain some a priori estimates for a higher order Schrödinger equation and in particular we obtain some a priori estimates for the modified Korteweg-de Vries equation. 1. ..."
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Abstract. In this work we obtain some a priori estimates for a higher order Schrödinger equation and in particular we obtain some a priori estimates for the modified Korteweg-de Vries equation. 1.
Results 1 - 10
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4,999
