Existence results for some systems of coupled fractional nonlinear Schrodinger equations Articles uri icon

publication date

  • January 2013

start page

  • 135

end page

  • 150

volume

  • 595

International Standard Serial Number (ISSN)

  • 0271-4132

abstract

  • 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.

keywords

  • nonlinear schrodinger equations; fractional laplacian; critical point theory; ground states; bound states