论文信息 - The Dirichlet problem of nonhomogeneous AA-harmonic equations in unbounded open sets and some estimates

The Dirichlet problem of nonhomogeneous AA-harmonic equations in unbounded open sets and some estimates

Abstract In this paper, we study the Dirichlet problem for nonhomogeneous A -harmonic equations with Sobolev boundary values in unbounded open sets of R n . We prove the existence of solutions of nonhomogeneous A -harmonic equations with Sobolev boundary values in any unbounded open sets of R n . Then, we establish some estimates for their solutions.

Yong Wang | Tingting Wang | Gejun Bao | Guanfeng Li

[1] Fumi-Yuki Maeda,et al. Resolutivity of ideal boundary for nonlinear Dirichlet problems , 2000 .

[2] Yong Wang,et al. The existence of solutions to the nonhomogeneous A-harmonic equation , 2011 .

[3] J. Heinonen,et al. Nonlinear Potential Theory of Degenerate Elliptic Equations , 1993 .

[4] D. Kinderlehrer,et al. An introduction to variational inequalities and their applications , 1980 .

[5] Fumi-Yuki Maeda,et al. PERTURBATION THEORY FOR NONLINEAR DIRICHLET PROBLEMS , 2003 .