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ABOUT AN EXISTENCE THEOREM OF THE HENSTOCK - FOURIER TRANSFORM
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)
Heat content estimates over sets of finite perimeter
(2016-09)
This paper studies by means of standard analytic tools the small time behavior of the heat content over a bounded Lebesgue measurable set of finite perimeter by working with the set covariance function and by imposing ...
Heat content estimates over sets of finite perimeter
(2016-09)
This paper studies by means of standard analytic tools the small time behavior of the heat content over a bounded Lebesgue measurable set of finite perimeter by working with the set covariance function and by imposing ...
Measure Functional Differential Equations in the Space of Functions of Bounded Variation
(Hindawi Publishing Corporation, 2013-01-01)
We establish general conditions for the unique solvability of nonlinear measure functional differential equations in terms of properties of suitable linear majorants.
Multiplicity of solutions for a class of quasilinear problems involving the 1-Laplacian operator with critical growth
(2022-01-25)
The aim of this paper is to establish two results about multiplicity of solutions to problems involving the 1-Laplacian operator, with nonlinearities with critical growth. To be more specific, we study the following problem ...
A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator
(2021-08-01)
In this work we study a quasilinear elliptic problem involving the 1-Laplacian operator in RN, whose nonlinearity satisfy conditions similar to those ones of the classical work of Berestycki and Lions. Several difficulties ...
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result
(2020-01-01)
In this paper we prove the compactness of the embeddings of the space of radially symmetric functions of BL(R N) into some Lebesgue spaces. In order to do so we prove a regularity result for solutions of the Poisson equation ...
Existence of a BV solution for a mean curvature equation
(2021-10-25)
We prove the existence of a bounded variation solution for a quasilinear elliptic problem involving the mean curvature operator and a sublinear nonlinearity. We obtain such a solution as the limit of the solutions of another ...
A NEW STRATEGY FOR SOLVING VARIATIONAL-INEQUALITIES IN BOUNDED POLYTOPES
(Marcel Dekker IncNew York, 1995)