Li: Some Liouville theorems for the fractional Laplacian. To appear in Nonlin. Anal. http://arxiv.org/abs/1407.5559.W. Chen, L. Di-Ambrosio, Y. Li, Some Liouville theorems for the fractional Laplacian, Nonlinear Anal. 121 (2015), 370C381....
Some Liouville theorems for the p-Laplacian In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri ... B Isabeau,D Francoise - 《Electronic Journal of Differential Equations》 被引量: 35发表...
Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds J. Math. Pures Appl. (2005) TadanoH. Remark on a diameter bound for complete Riemannian manifolds with positive Bakry–Émery Ricci curvature Differential Geom. Appl. (2016) AmbroseW. A theorem of Myers Duke...
In this paper, we establish several new existence theorems for positive solutions of systems of $(2n,2m)$ -order of two p-Laplacian equations. The results are based on the Krasnosel’skii fixed point theorem and mainly complement those of Djebali, Moussa
This paper is devoted to the existence of singular limit solutions for a nonlinear elliptic system of Liouville type under Navier boundary conditions in a bounded open domain of $\mathbb{R}^{4}$ . The concerned results are obtained employing the nonlinea
In this article, we establish some truncated second main theorems for holomorphic curves into projective spaces with some special hypersurfaces and give some applications. In addition, the defect relation, the algebraically degenerate conditions and uniqueness theorem for holomorphic curves with some special...
(Dirichletboundaryconditions),thecriticalsetisambientdiffeomorphictoaunionofisolatedparallelhyperplanes.ForsecondorderoperatorsonH2p,thecriticalsetisnotaHilbertmanifoldbutisstillcontractibleandadmitsanormalform.Thethirdordercaseistopologicallyfarmorecomplicated.Keywords:Sturm-Liouville,nonlineardifferentialoperators,in...
This paper is devoted to the existence of singular limit solutions for a nonlinear elliptic system of Liouville type under Navier boundary conditions in a bounded open domain of $\mathbb{R}^{4}$ . The concerned results are obtained employing the nonlinea
Wenxiong Chen, Lorenzo D'Ambrosio, and Yan Li, Some Liouville theorems for the fractional Laplacian, Non- linear Anal. 121 (2015), 370-381, DOI 10.1016/j.na.2014.11.003. MR3348929W. Chen, L. Di-Ambrosio, Y. Li, Some Liouville theorems for the fractional Laplacian, Nonlinea...
Wenxiong Chen, Lorenzo D'Ambrosio, and Yan Li, Some Liouville theorems for the fractional Laplacian, Non- linear Anal. 121 (2015), 370-381, DOI 10.1016/j.na.2014.11.003. MR3348929W. Chen, L. D'Ambrosioc and Y. Li, Some Liouville theorems for the fractional Laplacian, Nonlinear ...