Partial Differential Equations

1. Front Matter

   Pages I-VI

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2. Co-area, liquid crystals, and minimal surfaces

   • F. Almgren, W. Browder, E. H. Lieb

   Pages 1-22

3. Nonelliptic problems and complex analysis

   • Richard Beals

   Pages 23-37

4. Smoothness of shock front solutions for systems of conservation laws

   • Chen Shuxing

   Pages 38-60

5. On degenerate monge-ampere equations in convex domains

   • Chen Yazhe

   Pages 61-68

6. Initial and boundary problems for the degenerate or singular system of the filtration type

   • Fu Hong-Yuan

   Pages 69-83

7. On interior regularity of solutions of a class of hypoelliptic equations

   • Huang Yumin

   Pages 84-92

8. A counterexample to the Yamabe problem for complete noncompact manifolds

   • Jin Zhiren

   Pages 93-101

9. Free boundary problems for degenerate parabolic equations

   • Li Huilai

   Pages 102-130

10. Global perturbation of the riemann problem for the system of one-dimensional isentropic flow

    • Li Ta-tsien, Zhao Yan-chun

    Pages 131-140

11. Analysis of C∞-singularities for a class of operators with varying multiple characteristics

    • Qiu Qing-jiu, Qian Si-xin

    Pages 141-148

12. An inverse problem for nonlocal elliptic bvp and resistivity identification

    • Tan Yongji

    Pages 149-159

13. Local ellipticity of F and regularity of F minimizing currents

    • Jean E. Taylor

    Pages 160-173

14. A geometric proof of the mumford compactness theorem

    • Friedrich Tomi, A. J. Tromba

    Pages 174-181

15. Harnack inequalities for functions in De Giorgi parabolic class

    • Wang Guanglie

    Pages 182-201

16. Equivariant morse theory for isolated critical orbits and its applications to nonlinear problems

    • Wang Zhi-qiang

    Pages 202-223

17. A class diffractive boundary value problem with multiple characteristic

    • Wu Fontong

    Pages 224-239

18. Existence, uniqueness and regularity of the minimizer of a certain functional

    • Wu Lancheng

    Pages 240-254

19. Everywhere regularity for solutions to quasilinear elliptic systems of triangular form

    • Yan Ziqian

    Pages 255-261

20. On the dirichlet problem for a class of quasilinear elliptic systems of partial differential equations in divergence form

    • Zhang Ke-Wei

    Pages 262-277

The volume contains a selection of papers presented at the 7th Symposium on differential geometry and differential equations (DD7) held at the Nankai Institute of Mathematics, Tianjin, China, in 1986. Most of the contributions are original research papers on topics including elliptic equations, hyperbolic equations, evolution equations, non-linear equations from differential geometry and mechanics, micro-local analysis.

• BVP
• Boundary value problem
• Minimal surface
• differential geometry
• hyperbolic equation
• manifold
• partial differential equation

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