Abstract
A Caccioppoli type estimate is established for a class of second order PDEs of divergence type, and its removable singularities of Hausdorff dimension greater than zero is obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Budney, L., Iwaniec, T. Removability of singularities of A-harmonic functions. Differential and integral equations, 12(2): 261–274 (1999)
Harvey, R., Polking, J. Removable singularities of solutions of PDE. Acta Math., 125: 39–56 (1970)
Iwaniec, T., Migliaccio, L., Nania, L., Sbordone, C. Integrability and removability results for quasiregular mappings in high dimensions. Math. Scand., 75(2): 263–279 (1994)
Iwaniec, T. p-harmonic tensor and quasiregular mappings. Ann. Math., 136: 589–624 (1992)
Iwaniec, T., Sbordone, C. Weak minima of variational integrals. J. Reine Angew Math., 454: 143–161 (1994)
Koskela, P., Martio, O. Removability theorems for solution of degenerate elliptic PDE. Ark. Mat., 31: 339–353 (1993)
Lewis, J. On very weak solutions of certain elliptic systems. Comm. Part. Diff. Equ., 18(9&10): 1515–1537 (1993)
Serrin, J. Removable singularities of solutions of elliptic equations. Arch. Rat. Mech. Anal., 17: 65–78 (1964)
Zheng, S.Z. Regularity of very weak solutions for a class of nonlinear elliptic systems. Acta Math. Sinica, 14: 733–740 (1998)
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by National Natural Science Foundation (No. 49805005) and partially by Research Foundation of Northern Jiaotong University (2002SM061)
Rights and permissions
About this article
Cite this article
Zheng, Sz. Removable Singularities of Solutions of A-harmonic Type Equations. Acta Mathematicae Applicatae Sinica, English Series 20, 115–122 (2004). https://doi.org/10.1007/s10255-004-0154-2
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10255-004-0154-2