A. E. Presoto

collaborators

2 papers

math.AP2018

On the fractional regularity for degenerate equations with $(p, q)$ -growth

Luís H. de Miranda, Adilson E. Presoto

This paper addresses the gain of global fractional regularity in Nikolskii spaces for solutions of a class of quasilinear degenerate equations with $(p, q)$ -growth. Indeed, we inves…

math.AP2012

Limit solutions of the Chern-Simons equation

Augusto C. Ponce, Adilson E. Presoto

We investigate the scalar Chern-Simons equation $- Δ u + e^{u} (e^{u} - 1) = μ$ in cases where there is no solution for a given nonnegative finite measure $μ$ . Approximating $μ$ by a sequen…

On the fractional regularity for degenerate equations with (p,q)-growth

Limit solutions of the Chern-Simons equation

On the fractional regularity for degenerate equations with $(p, q)$ -growth