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Multiple solutions and its stability in a bounded symmetry domain
Thesis

Multiple solutions and its stability in a bounded symmetry domain

Chi-Ru Yang
Masters, 國立清華大學, 數學系
2003

Abstract

半線性橢圓方程 穩定性 有界對稱域 semilinear elliptic equation stability bounded symmetry domain
In this article, we prove that there are three positive solutions of a semilinear elliptic equation in a bounded symmetric domain Dt for large t > 0 in which one is axially symmetric and the other two are nonaxially symmetric. Moreover, we prove that these three solutions are unstable.

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