Makale detayı · 2012 · article
Existence and multiplicity of weak solutions for nonuniformly elliptic equations with nonstandard growth condition
Veri kaynağı ayrımı
- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıCOMPLEX VARIABLES AND ELLIPTIC EQUATIONS
- Katalog eşleşmesi (ISSN)Complex Variables and Elliptic Equations
- OpenAlexOpenAlex zenginleştirmesi (özet, atıf, konular)
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Özet
We discuss the problem – div(a(x, ∇u)) = m(x)|u| r(x)−2 u + n(x)|u| s(x)−2 u in Ω, where Ω is a bounded domain with smooth boundary in ℝ N (N ≥ 2), and div(a(x, ∇u)) is a p(x)-Laplace type operator with 1 < r(x) < p(x) < s(x). We show the existence of infinitely many nontrivial weak solutions in . Our approach relies on the theory of the variable exponent Lebesgue and Sobolev spaces combined with adequate variational methods and a variation of the Mountain Pass lemma and critical point theory.
Konular
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