Symmetry breaking and semilinear elliptic equations
نویسندگان
چکیده
منابع مشابه
Symmetry-Breaking for Positive Solutions of Semilinear Elliptic Equations
In a recent interesting paper, GIDAS, NI, and NIRENBERG [2] proved that positive solutions of the Dirichlet problem for second-order semi-linear elliptic equations on balls must themselves be spherically symmetric functions. Here we consider the bifurcation problem for such solutions. Specifically, we investigate the ways in which the symmetric solution can bifurcate into a nonsymmetric solutio...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1989
ISSN: 0377-0427
DOI: 10.1016/0377-0427(89)90149-0