Add to ORKGWe prove a Plemelj type formula for general potentials in $C^{1}$ domains. By means of that we obtain completeness theorems in $L^{p}$ norm for the Dirichlet problem for the polyharmonic equation $\Delta^{m}u=0$
Abstract. We show that the knowledge of the Dirichlet–to–Neumann map on the boundary of a bounded op...
This work is devoted to the nonexistence of positive solutions for polyharmonic systems [GRAPHICS...
This monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded ...
We prove a Plemelj type formula for general potentials in $C^{1}$ domains. By means of that we obta...
This paper deals with Lopatinskii type boundary value problem (bvp) for the (poly) harmonic differen...
In this thesis we investigate whether results such as a positivity preserving property or the existe...
We show that the knowledge of the Dirichlet-to-Neumann map on the boundary of a bounded open set in ...
This monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded ...
We study the existence of positive continuous solutions of the nonlinear polyharmonic system \((-\De...
In the present paper we establish the Wiener test for boundary regularity of the solutions to the po...
Cranston, Fabes and Zhao ([26], [5]) established the uniform bound sup x; y 2 x 6= y R G1;n (x;...
International audienceIn this paper, we are interested in entire, non-trivial, non-negative solution...
Abstract. On the basis of a higher order integral representation formula related to the polyharmonic...
Let K ∈ N and Ω ⊂ RN (N ≥ 2K + 1) be a regular bounded domain in RN. We consider the semilinear poly...
A priori estimates for semilinear higher order elliptic equations usually have to deal with the abse...
Abstract. We show that the knowledge of the Dirichlet–to–Neumann map on the boundary of a bounded op...
This work is devoted to the nonexistence of positive solutions for polyharmonic systems [GRAPHICS...
This monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded ...
We prove a Plemelj type formula for general potentials in $C^{1}$ domains. By means of that we obta...
This paper deals with Lopatinskii type boundary value problem (bvp) for the (poly) harmonic differen...
In this thesis we investigate whether results such as a positivity preserving property or the existe...
We show that the knowledge of the Dirichlet-to-Neumann map on the boundary of a bounded open set in ...
This monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded ...
We study the existence of positive continuous solutions of the nonlinear polyharmonic system \((-\De...
In the present paper we establish the Wiener test for boundary regularity of the solutions to the po...
Cranston, Fabes and Zhao ([26], [5]) established the uniform bound sup x; y 2 x 6= y R G1;n (x;...
International audienceIn this paper, we are interested in entire, non-trivial, non-negative solution...
Abstract. On the basis of a higher order integral representation formula related to the polyharmonic...
Let K ∈ N and Ω ⊂ RN (N ≥ 2K + 1) be a regular bounded domain in RN. We consider the semilinear poly...
A priori estimates for semilinear higher order elliptic equations usually have to deal with the abse...
Abstract. We show that the knowledge of the Dirichlet–to–Neumann map on the boundary of a bounded op...
This work is devoted to the nonexistence of positive solutions for polyharmonic systems [GRAPHICS...
This monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded ...