Abstract
We consider the equation div \((|\nabla u|^{p - 2} \nabla u) + |u|^{q - 1} u = 0\) for p≦N, 0<p−1<q. We study the isolated singularities and the behavior near infinity of nonradial positive solutions when q <N(p −1)/(N − p), and give a complete classification of local and global radial solutions of any sign, for any q.
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Bidaut-Veron, MF. Local and global behavior of solutions of quasilinear equations of Emden-Fowler type. Arch. Rational Mech. Anal. 107, 293–324 (1989). https://doi.org/10.1007/BF00251552
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DOI: https://doi.org/10.1007/BF00251552