References
[BI] B. Bojarski and T. Iwaniec,Analytical foundations of the theory of quasiconformal mappings in R n Ann. Acad. Sci. Fenn. A I Math.8 (1983), 257–323.
[E] G. C. Evans,Complements of potential theory. Part II, Amer. J. Math.55 (1933), 29–49.
[F] H. Federer,Geometric Measure Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1969.
[GT] D. Gilbarg, and N.S. Trudinger,Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin-Heidelberg-New York, 1977.
[GLM1] S. Granlund, P. Lindqvist and O. Martio,Conformally invariant variational integrals, Trans. Amer. Math. Soc.277 (1983), 43–73.
[GLM2] S. Granlund, P. Lindqvist and O. Martio,F-harmonic measure in space, Ann. Acad. Sci. Fenn. A I Math.7 (1982), 233–247.
[GLM3] S. Granlund, P. Lindqvist and O. Martio,Note on the PWB-method in the non-linear case, Pacific J. Math.125 (1986), 381–395.
[JN] F. John and L. Nirenberg,Functions of bounded mean oscillation, Comm. Pure Appl. Math.14 (1961), 415–426.
[LM] P. Lindqvist and O. Martio,Two theorems of N. Wiener for solutions of quasilinear elliptic equations, Acta Math.155 (1985), 153–171.
[Ra] T. Rado,Subharmonic Functions, Chelsea Publishing Company, New York, 1949.
[R] Yu. G. Rešetnjak,Space Mappings with Bounded Excursion, Nauka, Novosibirsk, 1982 (Russian).
[S] J. Serrin,Local behavior of solutions of quasilinear equations, Acta Math.111 (1964), 247–302.
[St] E. Stein,Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, New Jersey, 1970.
[W] H. Wallin,Metrical characterization of conformal capacity zero, J. Math. Anal. Appl.58 (1977), 298–311.
Author information
Authors and Affiliations
Additional information
Dedicated to Professor Frederick W. Gehring on his sixtieth birthday
Rights and permissions
About this article
Cite this article
Lindqvist, P., Martio, O. Regularity and polar sets for supersolutions of certain degenerate elliptic equations. J. Anal. Math. 50, 1–17 (1988). https://doi.org/10.1007/BF02796112
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02796112