PageHeader : Funkcialaj Ekvacioj, 12 (1969), 205-220
Title : On the Dirichlet Problem
Title : for Second Order Elliptic Differential Equations
AuthorInfo : By Kiyoshi AKO��)*)
AuthorInfo : (University of Tokyo)
AuthorInfo : Dedicated to Professor Tokui Sat? on the Occasion of His Retirement
section : Introduction.
section : 1. Fundamental assumptions.
section : 2. Function spaces $W_{1},H_{1}$ and $H_{1}^{\circ}$ .
section : 3. Modern solutions and classical solutions.
section : 4. Lax-Milgram's theorem. Garding's inequality.
section : 5. Mollifiers.
section : 6. The case where $\varphi=0$ .
section : 7. The main theorem.
section : 8. Proof of the main theorem.
section : 9. Proof of the main theorem (continued).
section : 10. Dirichlet's principle and its app1ication.
section : 11. Two remarks.
section : Appendix Regularity of solutions near the boundary
section : References