Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 32, 2007, 595-599

GROWTH ESTIMATES THROUGH SCALING FOR QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS

Tero Kilpeläinen, Henrik Shahgholian and Xiao Zhong

University of Jyväskylä, Department of Mathematics and Statistics
P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland; terok 'at' maths.jyu.fi

Royal Institute of Technology, Department of Mathematics
SE-100 44 Stockholm, Sweden; henriks 'at' kth.se

University of Jyväskylä, Department of Mathematics and Statistics
P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland; zhong 'at' maths.jyu.fi

Abstract. In this note we use a scaling or blow up argument to obtain estimates to solutions of equations of p-Laplacian type.

2000 Mathematics Subject Classification: Primary 35J60; Secondary 35J15.

Key words: p-Laplace, scaling.

Reference to this article: T. Kilpeläinen, H. Shahgholian and X. Zhong: Growth estimates through scaling for quasilinear partial differential equations. Ann. Acad. Sci. Fenn. Math. 32 (2007), 595-599.

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