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Start Over Author "Alama A" Journal journal of functional analysis
6 results on '"Alama A"'

6. Elliptic Problems with Nonlinearities Indefinite in Sign

Author

Gabriella Tarantello and Stanley Alama

Subjects
Dirichlet problem, Discrete mathematics, Multiplicity results, 010102 general mathematics, Open set, Boundary (topology), 01 natural sciences, Elliptic boundary value problem, 010101 applied mathematics, Bounded function, Boundary value problem, 0101 mathematics, Analysis, Mathematics, Sign (mathematics)
Abstract

Let Ω ⊂ R N , N ⩾3, be a bounded open set with smooth boundary and λ ∈ R . We study the Dirichlet problem,[formula]with 1 q p and h , k ∈ L ∞ ( Ω ) nonnegative functions. We prove existence, nonexistence and multiplicity results depending on λ and according to the integrability properties of the ratio k p −1 / h q −1 .

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