Related papers: Subelliptic Estimates
We review the basic ideas lying at the foundation of the recently developed theory of twisted symmetries of differential equations, and some of its developments.
This note provides new closed forms evaluations of a few classes of exponential sums associated with elliptic curves and hyperelliptic curves.
We give a stack-theoretic proof for some results on families of hyperelliptic curves.
We prove some basic properties of quasinearly subharmonic functions and quasinearly subharmonic functions in the narrow sense.
We prove some weighted $L_p$ estimates for generalized harmonic extensions in the half-space.
We study topological properties of the graph topology.
In this paper we study underlying graphs corresponding to a set of halving lines. We establish many properties of such graphs. In addition, we tighten the upper bound for the number of halving lines.
A periodic connection is constructed for a double well potential defined in the plane. This solution violates Modica's estimate as well as the corresponding Liouville Theorem for general phase transition potentials. Gradient estimates are…
In this note we briefly survey and propose some open problems related to isoparametric theory.
In this research a new algebraic semantics of rough set theory including additional meta aspects is proposed. The semantics is based on enhancing the standard rough set theory with notions of 'relative ability of subsets of approximation…
We calculate extensions between certain irreducible admissible representations of p-adic groups.
We study some topological properties of attractors.
Polytopes from subgraph statistics are important in applications and conjectures and theorems in extremal graph theory can be stated as properties of them. We have studied them with a view towards applications by inscribing large explicit…
We give a brief overview of the theoretical status of the Transition Distribution Amplitudes and discuss their experimental near future.
Considering some parameters and by means of an inequality of Hadamard, we derive general half-discrete Hilbert-type inequalities. Then we highlight some special cases.
In this article we present Sobolev-type inequalities for the localization of pseudo-relativistic energy.
We discuss several classical and recent proofs of the isoperimetric inequality and the Sobolev inequality.
We discuss various aspects of the statistical formulation of the theory of random graphs, with emphasis on results obtained in a series of our recent publications.
We derive bilateral asymptotic as well as non-asymptotic estimates for the multivariate Laplace integrals. Possible applications: Tauberian theorems for random vectors.
Several results about the union-closed sets conjecture are presented.