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Infinitely Many Solutions for the Prescribed Boundary Mean Curvature Problem in $\mathbb B^N$
2012
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
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We consider the following prescribed boundary mean curvature problem in B N with the Euclidean metric where K(x) is positive and rotationally symmetric on S N−1 , 2 # = 2(N−1) N−2 . We show that if K(x) has a local maximum point, then the above problem has infinitely many positive solutions, which are not rotationally symmetric on S N−1 .
doi:10.4153/cjm-2012-054-2
fatcat:hvdmu6ag4ng3bepionxhg6onjy