Mixed local and nonlocal equation with singular nonlinearity having variable exponent
Journal of Pseudo-Differential Operators and Applications（2023）
摘要
In this paper, we consider the mixed local-nonlocal quasilinear elliptic problem, with singular nonlinearity having a variable exponent, (P){[ -Δ _p u+(-Δ )_p^s u = fu^γ (x) in Ω ,; u > 0 in Ω ,; u = 0 in ℝ^N∖Ω , ]. where Ω⊂ℝ^N is a bounded regular domain in ℝ^N with 0更多
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关键词
Mixed local and nonlocal p-Laplace operators, Singular problem, Existence, Positive solutions, Variable exponent, Regularity, 35R11, 35J92, 35J75, 35B65
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