Displaying similar documents to “Growth of entire 𝒜 -subharmonic functions.”

Caccioppoli estimates and very weak solutions of elliptic equations

Tadeusz Iwaniec, Carlo Sbordone (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni


Caccioppoli estimates are instrumental in virtually all analytic aspects of the theory of partial differential equations, linear and nonlinear. And there is always something new to add to these estimates. We emphasize the fundamental role of the natural domain of definition of a given differential operator and the associated weak solutions. However, we depart from this usual setting (energy estimates) and move into the realm of the so-called very weak solutions where important new applications...

On weighted spaces of functions harmonic in n

Albert I. Petrosyan (2006)

Commentationes Mathematicae Universitatis Carolinae


The paper establishes integral representation formulas in arbitrarily wide Banach spaces b ω p ( n ) of functions harmonic in the whole n .