Multiple Nontrivial Solutions for a Nonlocal Problem with Sublinear Nonlinearity
نویسندگان
چکیده
In this paper, we study the following nonlocal problem − open="(" close=")"> a b ∫ Ω open="|" close="|"> ∇ u 2 d x Δ = λ + f p , ∈ 0 ∂ where id="M2"> > are constants, id="M3"> 1 < , id="M4"> id="M5"> L ∞ is a positive function, and id="M6"> smooth bounded domain in id="M7"> ℝ N with id="M8"> ≥ 3 . By variational methods, obtain pair of nontrivial solutions for considered provided id="M9"> small enough.
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2021
ISSN: ['1687-9139', '1687-9120']
DOI: https://doi.org/10.1155/2021/6671882