MR2332080
Mohammed BOUCHEKIF and Mohammed Elmokhtar Ould ELMOKHTAR
Mohammed BOUCHEKIF and Mohammed Elmokhtar Ould ELMOKHTAR
Existence and Nonexistence Results of a Problem Involving the Pseudobilaplacian Operator
Funkcialaj Ekvacioj. Serio Internacia
50
2007
101--116
http://fe.math.kobe-u.ac.jp/FE/FullPapers/50-1/50_101.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2332080
In this paper we obtain some existence and nonexistence results of a problem involving the pseudobilaplacian operator. By the sub and supersolutions techniques we prove that the problem admits a positive solution when it is subhomogeneous. In the case where it is superhomogeneous, we prove the existence of nontrivial solutions. The nonexistence result follows from a Pohozaev-type identity.
Pseudobilaplacian operator, Sub-Supersolution method, Mountain-Pass lemma, Palais-Smale condition, Pohozaev-type Identity.
35J40.
50-101
2007
Existence and Nonexistence Results of a Problem Involving the Pseudobilaplacian Operator
Mohammed BOUCHEKIF and Mohammed Elmokhtar Ould ELMOKHTAR
Mohammed BOUCHEKIF and Mohammed Elmokhtar Ould ELMOKHTAR
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