Curvature Functions for Compact 2-Manifolds

[1]  D. Sattinger Conformal Metrics in R^2 with Prescribed Curvature , 1972 .

[2]  F. John Partial differential equations , 1967 .

[3]  J. Moser On a Nonlinear Problem in Differential Geometry , 1973 .

[4]  S. Helgason Differential Geometry and Symmetric Spaces , 1964 .

[5]  F. W. Warner,et al.  Existence and Conformal Deformation of Metrics With Prescribed Gaussian and Scalar Curvatures , 1975 .

[6]  Charles Hermite,et al.  Œuvres de Charles Hermite: Sur la fonction exponentielle , 1874 .

[7]  S. Agmon The L P Approach to the Dirichlet Problem , 1959 .

[8]  R. Courant,et al.  Methods of Mathematical Physics , 1962 .

[9]  F. W. Warner,et al.  Curvature functions for 2-manifolds with negative Euler characteristic , 1972 .

[10]  J. Cooper SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .

[11]  G. Rosen Existence of Particlelike Solutions to Nonlinear Field Theories , 1966 .

[12]  F. W. Warner,et al.  Scalar curvature and conformal deformation of Riemannian structure , 1975 .

[13]  Leo F. Boron,et al.  Positive solutions of operator equations , 1964 .

[14]  P. Heywood Trigonometric Series , 1968, Nature.

[15]  S. Agmon,et al.  Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I , 1959 .

[16]  A. Lazer,et al.  NONLINEAR PERTURBATIONS OF LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS AT RESONANCE , 1969 .

[17]  Neil S. Trudinger,et al.  On Imbeddings into Orlicz Spaces and Some Applications , 1967 .

[18]  F. W. Warner,et al.  Curvature Functions for Open 2-Manifolds , 1974 .

[19]  H. Gluck The Generalized Minkowski Problem in Differential Geometry in the Large , 1972 .

[20]  L. Nirenberg The Weyl and Minkowski problems in differential geometry in the large , 1953 .

[21]  H. Amann On the Existence of Positive Solutions of Nonlinear Elliptic Boundary value Problems , 1971 .

[22]  D. Koutroufiotis Gaussian curvature and conformal mapping , 1972 .