Weak minima of variational integrals.
Existence and uniqueness results for solutions of nonlinear equations with right hand side in
We prove an existence and uniqueness theorem for the elliptic Dirichlet problem for the equation div a(x,∇u) = f in a planar domain Ω. Here and the solution belongs to the so-called grand Sobolev space . This is the proper space when the right hand side is assumed to be only -integrable. In particular, we obtain the exponential integrability of the solution, which in the linear case was previously proved by Brezis-Merle and Chanillo-Li.
Inverting the p-harmonic operator.
Weak lower semicontinuity of polyconvex integrals: a borderline case.
The Muckenhoupt class A₁(R)
It is shown that the Muckenhoupt structure constants for f and f* on the real line are the same.
Proprietà di misurabilità di un omeomorfismo in ipotesi minimali di integrabilità per il gradiente
Viene messo in evidenza il ruolo essenziale degli spazi di Sobolev generalizzati nello studio della proprietà (N) di Lusin per omeomorfismi tra aperti di .
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