5 papers
On Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients
Shigeaki Koike, Shota Tateyama
The global equi-continuity estimate on Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients is established when obstacles are merely continuous. The exi…
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…
Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term
Giulio Galise, Shigeaki Koike, Olivier Ley +1
In this paper we consider second order fully nonlinear operators with an additive superlinear gradient term. Like in the pioneering paper of Brezis for the semilinear case, we obta…
Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians
Guy Barles, Shigeaki Koike, Olivier Ley +1
In this paper we obtain regularity results for elliptic integro-differential equations driven by the stronger effect of coercive gradient terms. This feature allows us to construct…
Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms
Shigeaki Koike, Olivier Ley
We are concerned with fully nonlinear possibly degenerate elliptic partial differential equations (PDEs) with superlinear terms with respect to . We prove several comparison pr…