Add to ORKGAbstract. We investigate nonlocal-interaction energies on the space of probability measures. We establish sharp conditions for the existence of minimizers for a broad class of nonlocal-interaction energies. The condition is closely related to the notion of H-stability of pairwise interaction potentials in statistical mechanics. Our approach uses the direct method of calculus of variations. 1
This thesis deals with variational models for systems governed by nonlocal interactions. In particul...
In this paper we use an approach based on the maximum principle to characterise the minimiser of a f...
In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic e...
Abstract. We investigate nonlocal-interaction energies on the space of probability measures. We esta...
<p>We investigate which nonlocal-interaction energies have a ground state (global minimizer). We con...
Abstract. We investigate which nonlocal-interaction energies have a ground state (global min-imizer)...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
We show that the support of any local minimizer of the interaction energy consists of isolated point...
We consider both the minimisation of a class of nonlocal interaction energies over non-negative meas...
This Dissertation is brought to you for free and open access by the Theses and Dissertations at Rese...
We study the well-posedness of a class of nonlocal-interaction equations on general domains Ω⊂Rd, in...
ABSTRACT. We study the well-posedness of a class of nonlocal-interaction equations on general domain...
Abstract. We study well-posedness of a class of nonlocal interaction equations with spatially depend...
Abstract. In this work we consider local minimizers (in the topology of transport distances) of the ...
We consider a non-local interaction energy over bounded densities of fixed mass $m$. We prove that u...
This thesis deals with variational models for systems governed by nonlocal interactions. In particul...
In this paper we use an approach based on the maximum principle to characterise the minimiser of a f...
In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic e...
Abstract. We investigate nonlocal-interaction energies on the space of probability measures. We esta...
<p>We investigate which nonlocal-interaction energies have a ground state (global minimizer). We con...
Abstract. We investigate which nonlocal-interaction energies have a ground state (global min-imizer)...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
We show that the support of any local minimizer of the interaction energy consists of isolated point...
We consider both the minimisation of a class of nonlocal interaction energies over non-negative meas...
This Dissertation is brought to you for free and open access by the Theses and Dissertations at Rese...
We study the well-posedness of a class of nonlocal-interaction equations on general domains Ω⊂Rd, in...
ABSTRACT. We study the well-posedness of a class of nonlocal-interaction equations on general domain...
Abstract. We study well-posedness of a class of nonlocal interaction equations with spatially depend...
Abstract. In this work we consider local minimizers (in the topology of transport distances) of the ...
We consider a non-local interaction energy over bounded densities of fixed mass $m$. We prove that u...
This thesis deals with variational models for systems governed by nonlocal interactions. In particul...
In this paper we use an approach based on the maximum principle to characterise the minimiser of a f...
In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic e...