Existence of mountain-pass solutions for p(・)-biharmonic equations with Rellich-type term
نویسندگان
چکیده
This manuscript discusses the existence of nontrivial weak solution for following nonlinear eigenvalue problem driven by p(?)-biharmonic operator with Rellich-type term {?(|?u|p(x)?2?u) = ?|u|q(x)?2u/?(x)2q(x), x ? ?, u ?u 0, ??. Considering case 1 < min x?? p(x) max q(x) (N 2, Np(x) N 2p(x) ), we extend corresponding result reference [8], .p(x) 2 . The proofs main results are based on mountain pass theorem
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ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2305549l