Existence and stability results on a class of nonlinear Schrödinger equations in bounded domains with Dirichlet boundary conditions

Existence of solution, and L2 and H1 localization results on a class of nonlinear Schrödinger type equations with a bounded nonlinearity are obtained, for a bounded domain and with Dirichlet boundary conditions. The kind of stability under discussion shows that the corresponding solution exhibits features of a solitary wave type

A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions

We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method

Robin boundary-value problems for quasilinear elliptic equations with subcritical and critical nonlinearities

By using variational methods we study the existence of positive solutions for a class of quasilinear elliptic problems with Robin boundary conditions

Co-designed Innovation and System for Resilient Exascale Computing in Europe: From Applications to Silicon (EuroEXA)

EuroEXA targets to provide the template for an upcoming exascale system by co-designing and implementing a petascale-level prototype with ground-breaking characteristics. To accomplish this, the project takes a holistic approach innovating both across the technology and the application/system software pillars. EuroEXA proposes a balanced architecture for compute and data-intensive applications, that builds on top of cost-efficient, modular-integration enabled by novel inter-die links, utilises a novel processing unit and embraces FPGA acceleration for computational, networking and storage operations. EuroEXA hardware designers work together with system software experts optimising the entire stack from language runtimes to low-level kernel drivers, and application developers that bring in a rich mix of key HPC applications from across climate/weather, physical/energy and life-science/bioinformatics domains to enable efficient system co-design and maximise the impact of the project