# Boundary Behavior of Solutions to Elliptic Equations in General Domains

 FrontmatterDownload pp. i–v ContentsDownload pp. vii–xi IntroductionDownload pp. 1–5 1 Behavior near the boundary of solutions to the Dirichlet problem for a second-order elliptic equationpp. 7–66 2 An analogue of theWiener criterion for the Zaremba problem for the Laplacian in a half-cylinderpp. 67–85 3 Wiener type test for the Zaremba problem for degenerate elliptic operators in a half-cylinderpp. 87–112 4 Modulus of continuity of solutions to quasilinear elliptic equationspp. 113–131 5 Discontinuous solution to the $p$-Laplace equationpp. 133–151 6 Wiener test for higher-order elliptic equationspp. 153–190 7 Wiener test for the polyharmonic equationpp. 191–203 8 Weighted positivity andWiener regularity of a boundary point for the fractional Laplacianpp. 205–226 9 Wiener type regularity of a boundary point for the 3D Lamé systempp. 227–245 10 Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equationpp. 257–295 11 Boundedness of derivatives of solutions to the Dirichlet problem for the polyharmonic equationpp. 297–356 12 Polyharmonic capacities and higher-order Wiener testpp. 357–418 Bibliographypp. 419–428 General Indexpp. 429–430 Index of Mathematiciansp. 431