POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR BIHARMONIC PROBLEMS

Makkia Dammak, Rached Jaidane, Chahira Jerbi

Abstract


We introduce the notion of semi-stability for a solution. We determine the existence and nonexistence results for positive solutions, uniqueness and regularity. We also study a type of semi-stable solutions called extremal solutions. Moreover, we characterize the nonexistence of singular extremal solutions.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea