Large solutions for harmonic maps in two dimensions

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

Louis Nirenberg · Communications on Pure and Applied Mathematics · 1983 · 2.9K citations

Monge-ampere Equation, Elliptic Equation, Positive Solutions +3

Boundary regularity and the Dirichlet problem for harmonic maps

Richard Schoen, Karen Uhlenbeck · Journal of Differential Geometry · 1983 · 464 citations · Full text

Spectral Theory, Harmonic Space, Dirichlet Form +8

Multiple solutions of <i>H</i>‐systems and Rellich's conjecture

Jean‐Michel Coron · Communications on Pure and Applied Mathematics · 1984 · 210 citations

Riemann-hilbert Problem, Multiple Solutions

The existence of a non-minimal solution to the SU (2) Yang-Mills-Higgs equations on ?3. Part I

Clifford Henry Taubes · Communications in Mathematical Physics · 1982 · 195 citations

Yang-mills-higgs Equations, Supergravity, Particle Physics +4

The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values

Jürgen Jost · Journal of Differential Geometry · 1984 · 38 citations · Full text

Dirichlet Form, Geometric Partial Differential Equation, Free Boundary Problem +5