Partial Differential Equations

Co-area, liquid crystals, and minimal surfaces....Pages 1-22
Nonelliptic problems and complex analysis....Pages 23-37
Smoothness of shock front solutions for systems of conservation laws....Pages 38-60
On degenerate monge-ampere equations in convex domains....Pages 61-68
Initial and boundary problems for the degenerate or singular system of the filtration type....Pages 69-83
On interior regularity of solutions of a class of hypoelliptic equations....Pages 84-92
A counterexample to the Yamabe problem for complete noncompact manifolds....Pages 93-101
Free boundary problems for degenerate parabolic equations....Pages 102-130
Global perturbation of the riemann problem for the system of one-dimensional isentropic flow....Pages 131-140
Analysis of C ∞ -singularities for a class of operators with varying multiple characteristics....Pages 141-148
An inverse problem for nonlocal elliptic bvp and resistivity identification....Pages 149-159
Local ellipticity of F and regularity of F minimizing currents....Pages 160-173
A geometric proof of the mumford compactness theorem....Pages 174-181
Harnack inequalities for functions in De Giorgi parabolic class....Pages 182-201
Equivariant morse theory for isolated critical orbits and its applications to nonlinear problems....Pages 202-223
A class diffractive boundary value problem with multiple characteristic....Pages 224-239
Existence, uniqueness and regularity of the minimizer of a certain functional....Pages 240-254
Everywhere regularity for solutions to quasilinear elliptic systems of triangular form....Pages 255-261
On the dirichlet problem for a class of quasilinear elliptic systems of partial differential equations in divergence form....Pages 262-277
Initial value problems for a nonlinear singular integral-differential equation of deep water....Pages 278-290