A minimization problem arising from prescribing scalar curvature functions.
A minorization of the first positive eigenvalue of the scalar laplacian on a compact Riemannian manifold [Book]
A mod k index theorem.
A new infinite order formulation of variational sequences
The theory of variational bicomplexes is a natural geometrical setting for the calculus of variations on a fibred manifold. It is a well–established theory although not spread out very much among theoretical and mathematical physicists. Here, we present a new approach to infinite order variational bicomplexes based upon the finite order approach due to Krupka. In this approach the information related to the order of jets is lost, but we have a considerable simplification both in the exposition...
A new intrinsic curvature invariant for centroaffine hypersurfaces.
A new type of solutions for a singularly perturbed elliptic Neumann problem.
A nilpotent Lie algebra and eigenvalue estimates
The aim of this paper is to demonstrate how a fairly simple nilpotent Lie algebra can be used as a tool to study differential operators on with polynomial coefficients, especially when the property studied depends only on the degree of the polynomials involved and/or the number of variables.
A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology.
We present some results on the mathematical treatment of a global two-dimensional diffusive climate model. The model is based on a long time averaged energy balance and leads to a nonlinear parabolic equation for the averaged surface temperature. The spatial domain is a compact two-dimensional Riemannian manifold without boundary simulating the Earth. We prove the existence of bounded weak solutions via a fixed point argument. Although, the uniqueness of solutions may fail, in general, we give a...
A note on Dirac operators on the quantum punctured disk.
A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights.
A Note on the First Nonzero Eigenvalue of the Laplacian Acting of P-Forms.
A note on the isoperimetric constant
A prescribing geodesic curvature problem.
A property of Sobolev spaces on complete Riemannian manifolds.
A quantization for Kähler fields in static space-times
A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence
We apply Cartan’s method of equivalence to find a Bäcklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation.
A reduction method for proving the existence of solutions to elliptic equations involving the -Laplacian.
A Relation Between Growth and the Spectrum of the Laplacian.
A relationship between volume, injectivity radius, and eigenvalues.
A Remark on Invariant Pseudo-Differential Operators.