Let p > 1, q > p, lambda > 0 and s is an element of] 1, p[. We study, for s -> p(-), the behavior of positive solutions of the problem -Delta(p)u= lambda u(s-1) + u(q-1) in Omega, u vertical bar delta Omega= 0. In particular, we give a positive answer to an open question formulated in a recent paper of the first author.
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King Abdulaziz Univ, Dept Math, Coll Arts & Sci, Rabigh Campus,POB 344, Rabigh 21911, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Coll Arts & Sci, Rabigh Campus,POB 344, Rabigh 21911, Saudi Arabia
Maagli, Habib
Alsaedi, Ramzi
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King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Coll Arts & Sci, Rabigh Campus,POB 344, Rabigh 21911, Saudi Arabia
Alsaedi, Ramzi
Zeddini, Noureddine
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King Abdulaziz Univ, Dept Math, Coll Arts & Sci, Rabigh Campus,POB 344, Rabigh 21911, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Coll Arts & Sci, Rabigh Campus,POB 344, Rabigh 21911, Saudi Arabia