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What is Multiple Solutions to Critical Exponent Problem about?

This paper addresses the pure critical exponent problem in annular-shaped domains with holes of arbitrary size, establishing the existence of multiple sign-changing solutions. The authors demonstrate that under certain conditions related to the symmetry of the domain and the size of the hole, at least one positive solution and several pairs of sign-changing solutions can be found. This work extends previous results by allowing for domains with larger holes and does not impose restrictions on the size of the

Author

Hiếu Giang Trung

Language

EN