7 citations · 20 across the 5 of their papers we have counts for
5 papers
Diamond-alpha Integral Inequalities on Time Scales
Rui A. C. Ferreira, Moulay Rchid Sidi Ammi, Delfim F. M. Torres
The theory of the calculus of variations was recently extended to the more general time scales setting, both for delta and nabla integrals. The primary purpose of this paper is to…
Existence of Positive Solutions for Non Local p-Laplacian Thermistor Problems on Time Scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising…
Regularity of solutions to higher-order integrals of the calculus of variations
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We obtain new regularity conditions for problems of calculus of variations with higher-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our ma…
Regularity of Solutions to Second-Order Integral Functionals in Variational Calculus
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We obtain regularity conditions of a new type of problems of the calculus of variations with second-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev pheno…
Existence of Infinitely Many Solutions for a Quasilinear Elliptic Problem on Time Scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We study a boundary-value quasilinear elliptic problem on a generic time scale. Making use of the fixed-point index theory, sufficient conditions are given to obtain existence, mul…