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math.AP2023
Generalized solutions to semilinear elliptic equations with measure data
Tomasz Klimsiak
We address an open problem posed by H. Brezis, M. Marcus and A.C. Ponce in: Nonlinear elliptic equations with measures revisited. In: Mathematical Aspects of Nonlinear Dispersive E…
math.AP2023★ 6 cited
Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection
Tomasz Klimsiak, Andrzej Rozkosz
We study the Dirichlet problem for semilinear equations on general open sets with measure data on the right-hand side and irregular boundary data. For this purpose we develop the c…