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On isolated singularities in some nonlinear partial differential equations. (English) Zbl 0548.35042
The author investigates the local behaviour of positive solutions of nonlinear elliptic partial differential equations of the form, \[ \sum^{n}_{i,j=1}(\partial /\partial x_ j)(a_{ij}(x)\partial u/\partial x_ j)+\sum^{n}_{j=1}b_ j(x)u_ j+h(x)u^{\alpha}=0, \] and of the form \(\sum^{n}_{i,j=1}a_{ij}(x)u_{x_ ix_ j}+\sum^{n}_{j=1}b_ j(x)u_{x_ j}=u^{\alpha}\).
Reviewer: A.D.Osborne

MSC:
35J60 Nonlinear elliptic equations
35A20 Analyticity in context of PDEs
35B65 Smoothness and regularity of solutions to PDEs
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