Boundary Behavior of Solutions to Elliptic Equations in General Domains
Vladimir G. Maz'ya
Linköping University, Sweden and University of Liverpool, UK
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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 -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 |