Uniformly local spaces and refinements of the classical Sobolev embedding theorems

In Section 4 we deal with the existence of radial extremals with critical exponent and finally in Section 5 we prove that there exists a radial extremal for every ball if 1 < q

Key words : Jacobian determinant, Sobolev spaces, nonlinear

A famous theorem of E. The situation is more complicated for polygonal and polyhedral domains since the characterization is given only in terms of local compatibility conditions at

MILLER, Non Unique Continuation for Uniformly Parabolic and Elliptic Equations in Self-Adjoint Divergence Form with Hölder Continuous Coefficients, Arch.

Orlicz-Sobolev and Marcinkiewicz spaces and about the behaviour of norms in these spaces under rearrangements of functions.. Here, A is an N-function and A is its

[14] Stanislav Antontsev Sergey Shmarev : Elliptic Equations with Anisotropic Nonlinearity and Non- standard Growth Conditions, Handbook Of Differential Equations Stationary

Discrete Contin. Palatucci, Local behavior of fractional p−minimizers, to appear on Ann. Palatucci, Nonlocal Harnack inequalities, J.. Squassina, Existence results for

Our first aim is to provide the reader with an elementary proof of a global well-posedness result for small data with critical Sobolev regularity, in the spirit of Fujita-Kato’s