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.
Weinstein, Nonlinear Schr¨ odinger equations and sharp interpolation estimates., Communica- tions in Mathematical Physics, 87 (1983), 567-576
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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.