Geodesic
On entire radial solutions of some quasilinear elliptic equations
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 265-277

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Equations of the form $$ \Delta u+K(|x|)|u|^{p-2}u=h(|x|),\qquad x\in \mathbb R^N,\quad N\geslant 3, $$ with $p>1$ are considered in the class of real-valued radial functions. A priori and asymptotic estimates that are best possible in the class of equations under consideration are established on the basis of a new integral identity. Existence theorems are obtained for entire radial solutions. 
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     author = {S. I. Pokhozhaev},
     title = {On entire radial solutions of some quasilinear elliptic equations},
     journal = {Sbornik. Mathematics},
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     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1994_77_2_a0/}
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S. I. Pokhozhaev. On entire radial solutions of some quasilinear elliptic equations. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 265-277. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a0/