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236
The power of commuting with finite sets of words
 In Proc. STACS’05, Springer LNCS 3404
, 2005
"... We construct a finite language L such that the largest language commuting with L is not recursively enumerable. This gives a negative answer to the question raised by Conway in 1971 and also strongly disproves Conway’s conjecture on contextfreeness of maximal solutions of systems of semilinear ine ..."
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Cited by 19 (3 self)
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We construct a finite language L such that the largest language commuting with L is not recursively enumerable. This gives a negative answer to the question raised by Conway in 1971 and also strongly disproves Conway’s conjecture on contextfreeness of maximal solutions of systems of semilinear
On the existence of positive solutions of semilinear elliptic inequalities on Riemannian manifolds
, 2009
"... 1 Introduction and main results Let M be a smooth connected Riemannian manifold and consider the differential inequality on M div (A (x)∇u) + V (x) uσ ≤ 0, (1.1) where ∇ and div are respectively the Riemannian gradient and divergence, u = u (x) ..."
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Cited by 1 (0 self)
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1 Introduction and main results Let M be a smooth connected Riemannian manifold and consider the differential inequality on M div (A (x)∇u) + V (x) uσ ≤ 0, (1.1) where ∇ and div are respectively the Riemannian gradient and divergence, u = u (x)
Semilinear Subelliptic equations on the Heisenberg group with a singular potential
 Communications on Pure and Applied analysis
, 2009
"... Abstract. In this work, we study the Dirichlet problem for a class of semilinear subelliptic equations on the Heisenberg group with a singular potential. The singularity is controlled by Hardy’s inequality, and the nonlinearity is controlled by Sobolev’s inequality. We prove the existence of a no ..."
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Cited by 2 (1 self)
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Abstract. In this work, we study the Dirichlet problem for a class of semilinear subelliptic equations on the Heisenberg group with a singular potential. The singularity is controlled by Hardy’s inequality, and the nonlinearity is controlled by Sobolev’s inequality. We prove the existence of a
SEMILINEAR PARABOLIC EQUATIONS ON THE HEISENBERG GROUP WITH A SINGULAR POTENTIAL
, 2009
"... Abstract. In this work, we discuss the asymptotic behavior of solutions for semilinear parabolic equations on the Heisenberg group with a singular potential. The singularity is controlled by Hardy’s inequality, and the nonlinearity is controlled by Sobolev’s inequality. We also establish the existe ..."
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Abstract. In this work, we discuss the asymptotic behavior of solutions for semilinear parabolic equations on the Heisenberg group with a singular potential. The singularity is controlled by Hardy’s inequality, and the nonlinearity is controlled by Sobolev’s inequality. We also establish
Multiple solutions for semilinear corner degenerate elliptic equations
 J. Funct. Anal
, 2014
"... The present paper is concerned with the existence of multiple solutions for semilinear cornerdegenerate elliptic equations with subcritical conditions. First, we introduce the corner type weighted pSobolev spaces and discuss the properties of continuous embedding, compactness and spectrum. Then, ..."
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Cited by 1 (0 self)
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The present paper is concerned with the existence of multiple solutions for semilinear cornerdegenerate elliptic equations with subcritical conditions. First, we introduce the corner type weighted pSobolev spaces and discuss the properties of continuous embedding, compactness and spectrum. Then
Logarithmic Sobolev inequality and semilinear Dirichlet problems for infinitely degenerate elliptic operators, Astérisque 284
, 2003
"... Abstract Let X = (X1, · · · , Xm) be an infinitely degenerate system of vector fields, we prove firstly the logarithmic Sobolev inequality for this system on the associated Sobolev function spaces. Then we study the Dirichlet problem for the semilinear problem of the sum of square of vector field ..."
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Cited by 10 (5 self)
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Abstract Let X = (X1, · · · , Xm) be an infinitely degenerate system of vector fields, we prove firstly the logarithmic Sobolev inequality for this system on the associated Sobolev function spaces. Then we study the Dirichlet problem for the semilinear problem of the sum of square of vector
On the decidability of semilinearity for semialgebraic sets and its implications for spatial databases (Extended Abstract)
 IN ACM SYMPOSIUM ON PRINCIPLES OF DATABASE SYSTEMS
, 1997
"... Several authors have suggested to use firstorder logic over the real numbers to describe spatial database applications. Geometric objects are then described by polynomial inequalities with integer coefficients involving the coordinates of the ..."
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Cited by 12 (1 self)
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Several authors have suggested to use firstorder logic over the real numbers to describe spatial database applications. Geometric objects are then described by polynomial inequalities with integer coefficients involving the coordinates of the
SPACETIME L2ESTIMATES AND LIFESPAN OF THE KLAINERMANMACHEDON RADIAL SOLUTIONS TO SOME SEMILINEAR WAVE EQUATIONS
"... Abstract. We consider the Cauchy problem for some semilinear wave equations in three space dimensions and prove global or almost global existence of the KlainermanMachedon radial solutions. The proof is carried out by a contractionmapping argument based on a refined version of the KeelSmithSogg ..."
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Cited by 3 (3 self)
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Abstract. We consider the Cauchy problem for some semilinear wave equations in three space dimensions and prove global or almost global existence of the KlainermanMachedon radial solutions. The proof is carried out by a contractionmapping argument based on a refined version of the Keel
MULTIPLE NONTRIVIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC NEUMANN PROBLEMS WITH INDEFINITE LINEAR PART
"... ABSTRACT. We consider a semilinear Neumann problem with indenite linear part and a nonsmooth potential (hemivariational inequality).Using a nonsmooth variant of the reduction technique, we prove a multiplicity theorem for problems with subquadratic potential. AMS (MOS) Subject Classication. Primary ..."
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ABSTRACT. We consider a semilinear Neumann problem with indenite linear part and a nonsmooth potential (hemivariational inequality).Using a nonsmooth variant of the reduction technique, we prove a multiplicity theorem for problems with subquadratic potential. AMS (MOS) Subject Classication
Convexity Conditions of Kantorovich Function and Related Semiinfinite Linear Matrix Inequalities
"... Abstract. The Kantorovich function (x T Ax)(x T A −1 x), where A is a positive definite matrix, is not convex in general. From a matrix or convex analysis point of view, it is interesting to address the question: When is this function convex? In this paper, we prove that the 2dimensional Kantorovic ..."
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can be improved to 2 + √ 3 in 3dimensional space. Our analysis shows that the convexity of the function is closely related to some modern optimization topics such as the semiinfinite linear matrix inequality or ‘robust positive semidefiniteness ’ of symmetric matrices. In fact, our main result
Results 1  10
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236