By the sub- and super-solution method, the existence and the uniqueness of certain nonlinear parabolic system is studied. Under natural linear growth conditions, we generalize the results of Ishii and Koike for the elliptic PDEs to the case of parabolic PDEs.Mathematics, AppliedMathematicsSCI(E)0ARTICLE655-6621
We derive a strong maximum principle for upper semicontinuous viscosity subsolutions of fully nonlin...
We consider the initial boundary value problem for a fully-nonlinear parabolic equation in a half sp...
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim ...
By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlin...
AbstractIn this article, we prove a comparison result for viscosity solutions of a certain class of ...
The aim of this paper is to establish decay estimates for viscosity solutions of nonlinear parabolic...
We introduce a notion of viscosity solutions for a general class of elliptic-parabolic phase transit...
Abstract. We discuss and compare various notions of weak solution for the p-Laplace equation −div(|∇...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
We prove existence, boundedness and uniqueness of solutions to Cauchy-Dirichlet problems for ellipti...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
In this article, we introduce a new approach for proving Maximum Principle type results for viscosit...
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim ...
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim ...
There are many notions of solutions of nonlinear elliptic partial differential equa-tions. This pape...
We derive a strong maximum principle for upper semicontinuous viscosity subsolutions of fully nonlin...
We consider the initial boundary value problem for a fully-nonlinear parabolic equation in a half sp...
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim ...
By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlin...
AbstractIn this article, we prove a comparison result for viscosity solutions of a certain class of ...
The aim of this paper is to establish decay estimates for viscosity solutions of nonlinear parabolic...
We introduce a notion of viscosity solutions for a general class of elliptic-parabolic phase transit...
Abstract. We discuss and compare various notions of weak solution for the p-Laplace equation −div(|∇...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
We prove existence, boundedness and uniqueness of solutions to Cauchy-Dirichlet problems for ellipti...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
In this article, we introduce a new approach for proving Maximum Principle type results for viscosit...
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim ...
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim ...
There are many notions of solutions of nonlinear elliptic partial differential equa-tions. This pape...
We derive a strong maximum principle for upper semicontinuous viscosity subsolutions of fully nonlin...
We consider the initial boundary value problem for a fully-nonlinear parabolic equation in a half sp...
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim ...