Add to ORKGAbstract. In this paper we prove existence and uniqueness of a posi-tive viscosity solution of the 1-homogeneous p-Laplacian with a sublinear right-hand side, that is, −|Du|2−pdiv (|Du|p−2Du) = λuq in Ω, u = 0 on ∂Ω, where Ω is a bounded starshaped domain, λ> 0, p> 2 and 0 < q < 1. 1
We study one-dimensional p-Laplacian problems and answer the unsolved problem. Our method is to stud...
This paper is concerned with a study of the quasilinear problem -(|u # | p-2 u # ) # = |u| p - #, in...
AbstractWe prove the existence and nonexistence of positive solutions for the boundary value problem...
In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homoge...
Abstract. We prove existence and uniqueness of viscosity solutions for the following problem: max {−...
We prove existence and uniqueness of viscosity solutions for the problem: max-Δp1u(x), -Δp2u(x) = f(...
Abstract. In this paper we study asymptotics as p→ ∞ of the Dirich-let eigenvalue problem for the 1-...
We prove the existence of positive solutions for the p-Laplacian problem [formula] where [formula] c...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
We continue our study in [24] on viscosity solutions to a one-phase free boundary problem for the ...
We prove new results on the existence of positive solutions of one-dimensional $p$-Laplacian equatio...
We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for p 6 != 2....
We prove the existence of a positive classical solution for the p-Laplacian equation –(r(t)ϕ(u'))' =...
Abstract. In the present paper we study the Dirichlet boundary value pro-blem for quasilinear ellipt...
The viscosity solutions of a nonlinear equation related to the p-Laplacian are considered. Besides t...
We study one-dimensional p-Laplacian problems and answer the unsolved problem. Our method is to stud...
This paper is concerned with a study of the quasilinear problem -(|u # | p-2 u # ) # = |u| p - #, in...
AbstractWe prove the existence and nonexistence of positive solutions for the boundary value problem...
In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homoge...
Abstract. We prove existence and uniqueness of viscosity solutions for the following problem: max {−...
We prove existence and uniqueness of viscosity solutions for the problem: max-Δp1u(x), -Δp2u(x) = f(...
Abstract. In this paper we study asymptotics as p→ ∞ of the Dirich-let eigenvalue problem for the 1-...
We prove the existence of positive solutions for the p-Laplacian problem [formula] where [formula] c...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
We continue our study in [24] on viscosity solutions to a one-phase free boundary problem for the ...
We prove new results on the existence of positive solutions of one-dimensional $p$-Laplacian equatio...
We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for p 6 != 2....
We prove the existence of a positive classical solution for the p-Laplacian equation –(r(t)ϕ(u'))' =...
Abstract. In the present paper we study the Dirichlet boundary value pro-blem for quasilinear ellipt...
The viscosity solutions of a nonlinear equation related to the p-Laplacian are considered. Besides t...
We study one-dimensional p-Laplacian problems and answer the unsolved problem. Our method is to stud...
This paper is concerned with a study of the quasilinear problem -(|u # | p-2 u # ) # = |u| p - #, in...
AbstractWe prove the existence and nonexistence of positive solutions for the boundary value problem...