By Alberto Cialdea, Flavia Lanzara, Paolo Emilio Ricci
This quantity comprises a number of invited lectures given on the foreign Workshop "Analysis, Partial Differential Equations and Applications", held on the Mathematical division of Sapienza college of Rome, at the social gathering of the seventieth birthday of Vladimir G. Maz'ya, a well known mathematician and one of many major specialists within the box of natural and utilized research. The ebook goals at spreading the seminal rules of Maz'ya to a bigger viewers in schools of sciences and engineering. actually, all articles have been encouraged via prior works of Maz'ya in different frameworks, together with classical and modern difficulties attached with boundary and preliminary price difficulties for elliptic, hyperbolic and parabolic operators, Schr?dinger-type equations, mathematical thought of elasticity, strength idea, potential, singular indispensable operators, p-Laplacians, sensible research, and approximation concept. Maz'ya is writer of greater than 450 papers and 20 books. In his lengthy profession he bought many unbelievable and often pointed out leads to the speculation of harmonic potentials on non-smooth domain names, capability and means theories, areas of services with bounded version, greatest precept for higher-order elliptic equations, Sobolev multipliers, approximate approximations, and so on. the themes integrated during this quantity should be really worthwhile to all researchers who're drawn to attaining a deeper knowing of the massive services of Vladimir Maz'ya.