A1 Refereed original research article in a scientific journal
Critical points of a-solutions of quasilinear elliptic equations
Authors: Martio O., Miklyukov V., Vuorinen M.
Publication year: 1999
Journal:: Houston Journal of Mathematics
Journal name in source: Houston Journal of Mathematics
Volume: 25
Issue: 3
First page : 583
Last page: 601
Number of pages: 19
ISSN: 0362-1588
Web address : http://api.elsevier.com/content/abstract/scopus_id:0040631555
Abstract
Critical points of solutions to degenerate elliptic equations in R, n ≥ 2, consist of good (N-points) and bad points. Pseudoharmonic functions (n = 2), in the sense of Morse, have good points only. We give an estimate for the modulus of continuity of a generalized solution at an N-point. An analog of Sard's theorem is proved.
Critical points of solutions to degenerate elliptic equations in R, n ≥ 2, consist of good (N-points) and bad points. Pseudoharmonic functions (n = 2), in the sense of Morse, have good points only. We give an estimate for the modulus of continuity of a generalized solution at an N-point. An analog of Sard's theorem is proved.
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