Axially-symmetric boundary-value problems
نویسندگان
چکیده
منابع مشابه
Some symmetric boundary value problems and non-symmetric solutions
Abstract. We consider the equation −∆u = wf (u) on a symmetric bounded domain in Rn with Dirichlet boundary conditions. Here w is a positive function or measure that is invariant under the (Euclidean) symmetries of the domain. We focus on solutions u that are positive and/or have a low Morse index. Our results are concerned with the existence of non-symmetric solutions and the non-existence of ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1965
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1965-11400-8