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Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent
2016
Journal of Function Spaces
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The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation- div(M(x)∇un)=f(x)/uα(x)withf∈Lm(Ω) (m⩾ 1)andα(x)>0. The results show the dependence of the summability offin some Lebesgue spaces and on the values ofα(x).
doi:10.1155/2016/9794739
fatcat:cmv6g36d7fafddeymnd2teodxy