4 papers · 2 filters
Blow-up for a semilinear Tricomi equation in the oscillatory regime at the critical Strauss-type exponent
Diego Marcon, Wanderley Nunes do Nascimento, Matheus C. Santos
We study finite-time blow-up for a semilinear shifted Tricomi equation with decreasing propagation speed and an oscillatory scale-invariant mass. We focus on the Strauss-type criti…
Bernoulli problem for the fractional -Laplacian
Rafael Costa, Diego Marcon
We study regularity properties of minimizers for the one-phase Alt--Caffarelli problem associated with the fractional -Laplacian in the range . We consider minimizers of…
Gradient Regularity for Fully Nonlinear Equations with Variable Degeneracy and Hamiltonian Lower-Order Terms
Gleiciano Cosmo, Rafael R. Costa, Diego Marcon
We study local regularity properties of viscosity solutions to fully nonlinear elliptic equations with variable gradient degeneracy and Hamiltonian-type lower-order terms, \[ |\nab…
Blow-up for a Semilinear Tricomi-type Equation with Scale-Invariant Mass in the Oscillatory Regime
Diego Marcon, Wanderley Nascimento, Matheus Santos
We investigate the finite-time blow-up of solutions to a Tricomi-type equation with scale-invariant potential and power nonlinearities in the oscillatory regime. For smooth, compac…