Quasilinear elliptic equations with small boundary data |
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Authors: | Mr Chi -ping Lau |
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Institution: | (1) Math.Dept.R.S.Phys.S., Australian National Univ., G.P.O.Box 4, 2601 Canberra, A.C.T., Australia |
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Abstract: | It is shown that if the order of non-uniformity of a quasilinear elliptic equation is h, 1<h 2, then the critical norm separating existence and non-existence of a solution to the Dirichlet problem with small boundary data is the
norm. For 0 h 1, existence of a solution is guaranteed without any smallness assumption on the given boundary data, provided that the usual a priori interior gradient bound for solution is available. |
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Keywords: | |
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