On W1,p estimates for elliptic equations in divergence form

Communications on Pure and Applied Mathematics

Volumn 51, Issue 1, 1998, Pages 1-21

  Caffarelli, Luis A ^a   Peral, I ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041125729     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199801)51:1<1::AID-CPA1>3.3.CO;2-N     Document Type: Article

References (10)

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3. 1+a local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal. 7, 1983, pp. 827-850.
4. Bensoussan, A., Lions, J.-L., and Papanicolau, G., Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam, 1978.
5. Caffarelli, L. A., and Cabré, X., Fully Nonlinear Elliptic Equations, American Mathematical Society Colloquium Publications No. 43, American Mathematical Society, Providence, R.I., 1995.
6. Escauriaza, L., Fabes, E. B., and Verchota, G., On a regularity theorem for weak solutions to transmission problems with internal Lipschitz boundaries, Proc. Amer. Math. Soc. 115(4), 1992, pp. 1069-1076.
7. 1-domains, Acta Math. 141, 1978, pp. 165-186.
8. n, Lecture Notes in Mathematics No. 481, Springer, New York, 1975.
9. Kenig, C. E., Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems, CBMS Regional Conference Series in Mathematics No. 83, American Mathematical Society, Providence, R.I., 1994.
10. Tolksdorf, P., On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm. Partial Differential Equations 8(7), 1983, pp. 773-817.