An Example of Irregular Solution to a Nonlinear Euler-Lagrange Elliptic System with Real Analytic Coefficients

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 23, Issue 1, 1996, Pages 57-67

  Hao, Wenge ^a   Leonardi, Salvatore ^a   Nečas, Jindřich ^a  

^a Department of Mathemetical Sciences Northern Illinois University DeKalb Illinois 60115 USA Dipartimento di Matematica Città Universitaria Vle A Doria 6 95125 Catania ITALY ^*

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EID: 0011725080     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

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2. M. GIAQUINTA, Mlltiple integrals in the calculus of variations and nonlinear elliptic systems, Princeton University Press, Princeton, 1983.
3. M. GIAQUINTA, Introduction to the regularity theory for nonlinear elliptci systems, Birkhäuser Verlag, Basel, Boston, Berlin 1993.
4. E. GIUSTI - M. MIRANDA, Un esempio di soluzione discontinua per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni, Boll. Un. Mat. Ital. 2 (1968), 1-8.
5. J. NECAS, Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity, Theory of Nonlinear Operators, Abhandlungen Akad. der Wissen. der DDR (1977), Proc. of a Summer School held in Berlin (1975).
6. J. NECAS - O. JOHN - J. STARÁ, Counterexample to the regularity of weak solutions of elliptic systems, Comment. Math. Univ. Carolinae 21 (1980), 145-154.
7. J. NECAS, Introduction to the theory of nonlinear elliptic equations, Teubner Texte zur Mathematik, Leipzig 1983.