- January 2013
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- We study the existence of solutions to the following system of coupled Fractional Nonlinear Schrodinger Equations,[GRAPHICS],where lambda(j), mu(j) > 0, j = 1, 2, beta is an element of R, 1/2 < alpha < 2. Precisely, we prove the existence of bound and ground state solutions provided beta is small, respectively, large.
- nonlinear schrodinger equations; fractional laplacian; critical point theory; ground states; bound states