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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.6
- 수록면
- 271 - 286 (16page)
- DOI
- 10.5666/KMJ.2024.64.2.271
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초록· 키워드
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In this paper, we prove the existence of distributional solutions in the anisotropic Sobolev space W^(1,p (·))(Ω) with variable exponents and zero boundary, for a class of variable exponents anisotropic nonlinear elliptic equations having a compound nonlinearity G(x, u) = ∑(i=1 to N) (| f | + | u |)^(p_i(x)-1) on the right-hand side, such that f is in the variable exponents anisotropic Lebesgue space Lp (·) (Ω), where p (·) = (p_1(·), . . . , p_N (·)) ∈ (C(Ω, ]1, +∞[))^N.
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