Localization of critical points in annular conical sets via the method of Nehari manifold
AbstractUsing the Nehari manifold method, we establish sufficient conditions such that a smooth functional attains a ground state within an…
(preprint)
Critical point localization and multiplicity results in Banach spaces via Nehari manifold technique
AbstractIn the paper, results on the existence of critical points in annular subsets of a cone are obtained with the…
Fixed Point Results and the Ekeland Variational Principle in Vector B-Metric Spaces
Abstract In this paper, we extend the concept of b-metric spaces to the vectorial case, where the distance is vector…
On equilibrium in control problems with applications to evolution systems
Abstract In this paper we examine a mutual control problem for systems of two abstract evolution equations subject to a…
Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results
Abstract This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in…
A Mutual Control Problem for Semilinear Systems via Fixed Point Approach
Abstract In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a…
Optimal finite element approximation of unique continuation
Abstract We consider finite element approximations of ill-posed elliptic problems with conditional stability. The notion of {\emph{optimal error estimates}} is…
Computational orders of convergence of iterative methods for Richards’ equation
Abstract Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of…
Role of partial functionals in the study of variational systems
Abstract Applying techniques originally developed for systems lacking a variational structure, we establish conditions for the existence of solutions in…
On high-order conforming finite element methods for ill-posed Helmholtz problems
Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first…