Ground state solution for a class of nonlocal problems with sign-changing potential
The ground state solutions for a class of nonlocal problems with a sign-changing potential was studied by using constraint variational methods on bounded domain.The solving difficulties caused by nonlocal term and nonlinear term in the equation were overcome,and it has been proven that under certain conditions,the minimization sequence of the energy functional on the Nehari manifold is bounded and has a minimum element,this equation has at least one ground state solution.
nonlocal problemsign-changing potentialconstraint variational methodground state solutions
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