Add to ORKGThe existence of ground states and (multiple) bound states to semilinear time-independent Maxwell and Schr\"odinger equations, with or without $L^2$-constraints, is investigated.Comment: Ph.D. thesis (discussed in September 2021). Improved versions of Chapters 6 and 7 available at arXiv:2101.03076 and arXiv:2101.02611 respectively. Chapters 3 and 4 are based on arXiv:1901.05776 and arXiv:2006.03565 respectively. The results in Chapter 8 are ne
We study the existence of semi-classical bound states of the nonlinear Schrödinger equation \begin{l...
In this paper we prove existence of solutions to Schr\"odinger-Maxwell type systems involving mixed ...
We construct random Schr\"odinger operators, called Anderson Hamiltonians, with Dirichlet and Neuman...
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödin...
We solve the one-dimensional Schr\"odinger equation for the bound states of two potential models wit...
It is well-known that for usual Schrödinger operators weakly coupled bound states exist in dimension...
AbstractIn this paper we study the nonlinear Schrödinger–Maxwell equations{−Δu+V(x)u+ϕu=|u|p−1uin R3...
We propose a probabilistic representation of the ground states of massive and massless Schr\"{o}ding...
In this thesis we obtained new results on the asymptotic stability of ground states of the nonlinear...
In this paper we study ground state solutions to the focusing, nonlinear Schrödinger equation iut = ...
In this paper, we study the the coupled nonlinear Schr\"{o}dinger system \begin{align*} \begin{cases...
We consider in the whole plane the following Hamiltonian coupling of Schr\uf6dinger equations (Formu...
We study the existence of ground state standing waves, of prescribed mass, for the nonlinear Schr\"{...
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödin...
We study the existence and non-existence of ground states for the Schrödinger equations $-\Delta u...
We study the existence of semi-classical bound states of the nonlinear Schrödinger equation \begin{l...
In this paper we prove existence of solutions to Schr\"odinger-Maxwell type systems involving mixed ...
We construct random Schr\"odinger operators, called Anderson Hamiltonians, with Dirichlet and Neuman...
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödin...
We solve the one-dimensional Schr\"odinger equation for the bound states of two potential models wit...
It is well-known that for usual Schrödinger operators weakly coupled bound states exist in dimension...
AbstractIn this paper we study the nonlinear Schrödinger–Maxwell equations{−Δu+V(x)u+ϕu=|u|p−1uin R3...
We propose a probabilistic representation of the ground states of massive and massless Schr\"{o}ding...
In this thesis we obtained new results on the asymptotic stability of ground states of the nonlinear...
In this paper we study ground state solutions to the focusing, nonlinear Schrödinger equation iut = ...
In this paper, we study the the coupled nonlinear Schr\"{o}dinger system \begin{align*} \begin{cases...
We consider in the whole plane the following Hamiltonian coupling of Schr\uf6dinger equations (Formu...
We study the existence of ground state standing waves, of prescribed mass, for the nonlinear Schr\"{...
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödin...
We study the existence and non-existence of ground states for the Schrödinger equations $-\Delta u...
We study the existence of semi-classical bound states of the nonlinear Schrödinger equation \begin{l...
In this paper we prove existence of solutions to Schr\"odinger-Maxwell type systems involving mixed ...
We construct random Schr\"odinger operators, called Anderson Hamiltonians, with Dirichlet and Neuman...