One-Dimensional Symmetry for Solutions of Quasilinear Equations in ℝ2

Bollettino della Unione Matematica Italiana B

Volumn 6, Issue 3, 2003, Pages 685-692

  Farina, Alberto ^a  

^a Faculté de Mathématiques et d Informatique   (France)

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EID: 3042613356     PISSN: 03924041     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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2. 3 and a conjecture of De Giorgi, J. Amer. Math. Soc., 13, no. 4 (2000), 725-739.
3. L. CAFFARELLI - N. GAROFALO - F. SEGALA, A gradient bound for entire solutions of quasi-linear equations and its consequences, Comm. Pure Appl. Math., 47, no. 11 (1994), 1457-1473.
4. E. DE GIORGI, Convergence Problems for Functional and Operators, Proceedings of the International Meeting on Recent Methods in Nonlinear Analysis (Rome, 1978), pp. 131-188, Pitagora, Bologna, 1979.
5. A. FARINA, Some remarks on a conjecture of De Giorgi, Calc. Var. Partial Differential Equations, 8, no. 3 (1999), 233-245.
6. N. GHOUSSOUB - C. GUI, On a conjecture of De Giorgi and some related problems, Math. Ann., 311, no. 3 (1998), 481-491.
7. D. GILBARG - J. SERRIN, On isolated singularities of solutions of second order elliptic differential equations, J. Analyse Math., 4 (1955/56), 309-340.
8. O. A. LADYZHENSKAYA - N. N. URALTSEVA, Linear and Quasilinear Elliptic Equations, Academic Press, New York-London, 1968.
9. P. TOLKSDORF, Regularity for a more general class of quasilinear elliptic equations, J. Differential Equations, 51, no. 1 (1984), 126-150.