In international workshops on “New Worlds in Astroparticle Physics” held biannually, astronomers, astrophysicists and particle physicists discuss recent developments in the exciting and rapidly developing field of Astroparticle Physics. Similar to previous workshops, this 5th international workshop introduced experimental, observational and theoretical subjects through review lectures. This was followed by shorter contributions on the recent developments in Astroparticle Physics. This workshop covered an array of subjects like cosmic rays, gravitational waves, space radiation, neutrino physics, cosmological parameters, black holes, dark matter and dark energy.

The second meeting on 'New Worlds in Astroparticle Physics' reflected the growing interest and enthusiasm in the joint field of particle physics and astrophysics. The recent results of Superkamiokande on the possible neutrino oscillations are reviewed both from the experimental and theoretical points of view. The determination of the mass density in the Universe covered a wide range of topics from the Large Scale Structures to the Supernovae Cosmology project.Each main subject was introduced by a comprehensive review. The study of the origin and composition of cosmic rays is inspiring a new generation of earth- and space-based experiments.

The proceedings of the first meeting on “New Worlds in Astroparticle Physics” focus on the joint field of particle physics and astrophysics. This is a field widely open to both theory and experiment. Important questions of particle physics — from the role of the Higgs scalar to the deconfined QCD phase, the developments beyond the Standard Model and the subtle behavior of neutrinos — are discussed. The same is true for the relevant questions in astrophysics and cosmology — from the fluctuations in the photon background radiation to large scale structure formation, dark matter searches and the origin of cosmic rays at very high energies. The two viewpoints, from the small sizes or from the large scales, are convergent and reveal the same universe: the universe of astroparticle physics.

This volume covers many different subjects, from very high energy cosmic rays to neutrino physics, gravitational waves and cosmology. Recent achievements and the exciting years to come are emphasized.

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems. The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.

In international workshops on "New Worlds in Astroparticle Physics" held biannually, astronomers, astrophysicists and particle physicists discuss recent developments in the exciting and rapidly developing field of Astroparticle Physics. Similar to previous workshops, this 5th international workshop introduced experimental, observational and theoretical subjects through review lectures. This was followed by shorter contributions on the recent developments in Astroparticle Physics. This workshop covered an array of subjects like cosmic rays, gravitational waves, space radiation, neutrino physics, cosmological parameters, black holes, dark matter and dark energy.

The Fourth International Workshop on New Worlds in Astroparticle Physics was the latest in the biennial series, held in Faro, Portugal. The program included both invited and contributed talks. Each of the sessions opened with a pedagogical overview of the current state of the respective field. The following topics were covered: cosmological parameters; neutrino physics and astrophysics; gravitational waves; beyond standard models: strings; cosmic rays: origin, propagation and interaction; matter under extreme conditions; supernovae and dark matter.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

This volume covers many different subjects, from very high energy cosmic rays to neutrino physics, gravitational waves and cosmology. Recent achievements and the exciting years to come are emphasized.

These are the proceedings of a meeting in honour of Massimo Capaccioli at the occasion of his 70th birthday. The conference aimed at summarizing the results from the main current and past digital sky survey projects and at discussing how these can be used to inspire ongoing projects and better plan the future ones. Over the last decades, digital sky surveys performed with dedicated telescopes and finely-tuned wide-field cameras, have revolutionized astronomy. They have become the main tool to investigate the nearby and far away universe, thus providing new insights in the understanding of the galaxy structure and assembly across time, the dark components of the universe, as well as the history of our own galaxy. They have also opened the time domain leading to a new understanding of the transient phenomena in the universe. By providing public access to top quality data, digital surveys have also changed the everyday practice of astronomers who have become less dependent on direct access to large observing facilities. The full scientific exploitation of these surveys has also triggered significant advances in both space and ground based technology and in the field of multi-object spectroscopy. The various sections of this book are devoted to different relevant aspects of astrophysics in the era of digital sky surveys and include both review and shorter, more focused contributions.