AbstractWe consider the following free boundary problem in an unbounded domain Ω in two dimensions: Δpu=0 in Ω, u=0,∂u∂n=g0 on J0, u=1,∂u∂n=g1 on J1, where ∂Ω=J0∪J1. We prove that if 0<u<1 in Ω, Ji is the graph of a function in Cloc1,α(R) and gi is a constant for each i=0,1, then the free boundary ∂Ω must be two parallel straight lines and the solution u must be a linear function. The proof is based on maximum principle
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
Abstract. In this paper we study a two-phase free boundary prob-lem for a semilinear elliptic equati...
AbstractWe consider the following free boundary problem in an unbounded domain Ω in two dimensions: ...
Abstract. We study minimizers of the functional∫ B+1 (|∇u|2 + 2(λ+(u+)p + λ−(u−)p))dx, where B+1 = B...
We consider the optimization problem of minimizing; R; Ω; |∇u|p(x) + λχ{u>0} dx in the class of f...
summary:We investigate a two dimensional quasilinear free boundary problem, and show that the free b...
In this paper we continue the study in Lewis and Nyström (2010) [19], concerning the regularity of t...
In this paper we continue the study in Lewis and Nyström (2010) [19], concerning the regularity of t...
In this paper we study a one phase free boundary problem for the p (x)-Laplacian with non-zero right...
We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the pl...
Click on the DOI link below to access the article (may not be free).The main result of this paper co...
AbstractIn this paper we study the regularity of the free boundary in a general two-phase free bound...
In this paper we study the regularity of the free boundary in a general two-phase free boundary prob...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
Abstract. In this paper we study a two-phase free boundary prob-lem for a semilinear elliptic equati...
AbstractWe consider the following free boundary problem in an unbounded domain Ω in two dimensions: ...
Abstract. We study minimizers of the functional∫ B+1 (|∇u|2 + 2(λ+(u+)p + λ−(u−)p))dx, where B+1 = B...
We consider the optimization problem of minimizing; R; Ω; |∇u|p(x) + λχ{u>0} dx in the class of f...
summary:We investigate a two dimensional quasilinear free boundary problem, and show that the free b...
In this paper we continue the study in Lewis and Nyström (2010) [19], concerning the regularity of t...
In this paper we continue the study in Lewis and Nyström (2010) [19], concerning the regularity of t...
In this paper we study a one phase free boundary problem for the p (x)-Laplacian with non-zero right...
We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the pl...
Click on the DOI link below to access the article (may not be free).The main result of this paper co...
AbstractIn this paper we study the regularity of the free boundary in a general two-phase free bound...
In this paper we study the regularity of the free boundary in a general two-phase free boundary prob...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non...
Abstract. In this paper we study a two-phase free boundary prob-lem for a semilinear elliptic equati...
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