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We establish optimal, in a sense, conditions under which, for arbitrary forcing terms from a suitable class, a linear inhomogeneous functional differential equation in a preordered Banach space possesses solut...
We will prove the Hyers-Ulam stability of the Butler-Rassias functional equation following an idea by M. T. Rassias.
We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalizati...
-harmonic tensors
We prove Poincaré-type estimates involving the Hodge codifferential operator and Green's operator acting on conjugate
-harmonic tensors.
We give a refinement of the Poincaré inequality for Kolmogorov operators on
. This refinement yields some regularity result of the corresponding ...
The inequality discovered by L. K. Hua in 1965 has been generalized in several directions. In this paper, we adopt a certain conjugate method to give a simple and fundamental inequality on two functions on a s...
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