H�lder continuity of solutions to quasilinear elliptic equations involving measures

Springer Science and Business Media LLC - Tập 3 Số 3 - Trang 265-272 - 1994
Tero Kilpeläinen1
1Department of Mathematics, University of Jyväskylä, P.O. Box 35, 40351, Jyväskylä, Finland

Tóm tắt

Từ khóa


Tài liệu tham khảo

Adams, D. R. and Hedberg, L. I.:Function Spaces and Potential Theory. Springer-Verlag (In preparation).

Giaquinta, M.:Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Princeton University Press, 1983.

Heinonen, J., Kilpeläinen, T., and Martio, O.:Nonlinear Potential Theory of Degenerate Elliptic Equations, Oxford University Press, Oxford, 1993.

Kilpeläinen, T. and Malý, J.: ?Degenerate Elliptic Equations with Measure Data and Nonlinear Potentials?,Ann. Scuola Norm. Sup. Pisa. Cl. Science. Ser. IV 19 (1992), 591?613.

Kilpeläinen, T. and Malý, J.: ?The Wiener Test and Potential Estimates for Quasilinear Elliptic Equations,Acta Math. (to appear).

Koskela, P. and Martio, O.: ?Removability Theorems for Solutions of Degenerate Elliptic Partial Differential Equations?,Ark. Mat. (to appear).

Lewy, H. and Stampacchia, G.: ?On the Smoothness of Superharmonics which Solve a Minimum Problem?,J. Anal. Math. 23 (1970), 227?236.

Lieberman, G. M.: ?Sharp Forms of Estimates for Subsolutions and Supersolutions of Quasilinear Elliptic Equations Involving Measures?,Comm. P.D.E. 18 (1993), 1191?1212.

Manfredi, J. J.: ?Regularity for Minima of Functionals withp-Growth?,J. Diff. Eq. 76 (1988), 203?212.

Morrey, C. B.:Multiple Integrals in the Calculus of Variations, Springer-Verlag, 1966.

Rakotoson, J. M. and Ziemer, W. P.: ?Local Behavior of Solutions of Quasilinear Elliptic Equations with General Structure?,Trans. Amer. Math. Soc. 319 (1990), 747?764.

Sadullaev, A. and Madrakhimov, R.: ?Smoothness of Superharmonic Functions?, (Russian)Mat. Sbornik 181.2 (1990), 167?182; (Engl. transl. in)Math. USSR Sbornik 69 (1991), 179?195.