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math.AP2025
Existence and regularity of weak solutions for mixed local and nonlocal semilinear elliptic equations
Fuwei Cheng, Xifeng Su, Jiwen Zhang
We study the existence, multiplicity and regularity results of weak solutions for the Dirichlet problem of a semi-linear elliptic equation driven by the mixture of the usual Laplac…
math.AP2025
Multiple solutions for elliptic equations driven by higher order fractional Laplacian
Fuwei Cheng, Xifeng Su, Jiwen Zhang
We consider an elliptic partial differential equation driven by higher order fractional Laplacian , with homogeneous Dirichlet boundary condition \begin{eq…