On one-homogeneous solutions to elliptic systems in two dimensions

Comptes Rendus Mathematique

Volumn 335, Issue 1, 2002, Pages 39-42

  Phillips, Daniel ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038053169     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02418-4     Document Type: Article

References (4)

1. W. Hao, S. Leonardi, J. Nečas, An example of an irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients, Ann. Scuola Norm. Sup. Pisa. 23 (1) (1996) 57-67.
2. C.B. Morrey Jr., Existence and differentiability theorems for the solutions of variational problems for multiple integrals, Bull. Amer. Math. Soc. 46 (1940) 439-458.
3. J. Nečas, Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions of regularity, in: Theory of Nonlinear Operators, Abh. Akad. der Wissen. der DDR, 1977.
4. V. Šverák, X. Yan, A singular minimizer to a strongly convex functional in three dimensions, Calc. Var. Partial Differential Equations 10 (3) (2000) 213-221.