Publication Date:
2014-01-01
Description:
The aim of this work is to show existence and regularity properties of equations of the formf(Δ)u=U(x,u(x))onℝn, in whichfis a measurable function that satisfies some conditions of ellipticity andΔstands for the Laplace operator onℝn. Here, we define the class of functions to whichfbelongs and the Hilbert space in which we will find the solution to this equation. We also give the formal definition off(Δ)explaining how to understand this operator.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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