3 citations · 5 across the 5 of their papers we have counts for
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Aleksandrov-Bakelman-Pucci maximum principle for -viscosity solutions of uniformly elliptic equations with unbounded terms: The critical case
Andrzej Święch
We prove the Aleksandrov-Bakelman-Pucci maximum principle for -viscosity sub/super-solutions of fully nonlinear uniformly elliptic equations in with the…
Existence of solutions to a fully nonlinear free transmission problem
Edgard A. Pimentel, Andrzej Święch
We study an equation governed by a discontinuous fully nonlinear operator. Such discontinuities are solution-dependent, which introduces a free boundary. Working under natural assu…
A fully nonlinear degenerate free transmission problem
Gerardo Huaroto, Edgard A. Pimentel, Giane C. Rampasso +1
We study a free transmission problem driven by degenerate fully nonlinear operators. Our first result concerns the existence of solutions to the associated Dirichlet problem. By fr…
Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications
Shigeaki Koike, Andrzej Swiech, Shota Tateyama
The weak Harnack inequality for -viscosity supersolutions of fully nonlinear second-order uniformly parabolic partial differential equations with unbounded coefficients and in…
Coupling Levy measures and comparison principles for viscosity solutions
Nestor Guillen, Chenchen Mou, Andrzej Swiech
We prove new comparison principles for viscosity solutions of non-linear integro-differential equations. The operators to which the method applies include but are not limited to th…