Geodesic
Bifurcation of point sources and contour sources of nonlinear fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 393-404 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of static point sources of a nonlinear scalar field with nonlinearity $\varphi^\nu$ (leading term as $|\varphi|\to\infty$) in a space of dimension $\gamma\geqslant2$ is solved. For $\nu<\nu_c=\gamma/(\gamma-2)$, two different types of point source are found. For $\gamma>2$ when $\nu\geqslant\nu_c$, there are no point sources. In three-dimensional space, contour sources are possible instead of them. The transition from a distributed sources to a point source when the size of the distributed source tends to zero is also considered. 
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     author = {O. Sh. Rasizade},
     title = {Bifurcation of point sources and contour sources of nonlinear fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {393--404},
     year = {1982},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a5/}
}
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O. Sh. Rasizade. Bifurcation of point sources and contour sources of nonlinear fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 393-404. http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a5/

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