The best constant in the G-N inequality for the mixed local and nonlocal Laplacian is established, with the optimizer proven to be the ground state solution of the equation.
Kolmogoroff, On inequalities between the upper bounds of the successive derivatives of an arbitrary function on an infinite interval, Amer
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The best constant in the G-N inequality for the mixed local and Nonlocal Laplacian
The best constant in the G-N inequality for the mixed local and nonlocal Laplacian is established, with the optimizer proven to be the ground state solution of the equation.