Abstract
In this paper we study critical points problems for some integral functionals with principal part having degenerate coerciveness, whose model is J(v)=12∫Ω|∇v|2(b(x)+|v|)2α-1m∫Ω|v|m,v∈H01(Ω), with 1<m<2∗(1−α). We will prove several existence and nonexistence results depending on different assumptions on both m and α.
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