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Minimum action solutions of nonhomogeneous Schrödinger equations

Bashir Ahmad, Ahmed Alsaedi
2020 Advances in Nonlinear Analysis  
In this paper, we are concerned with the qualitative analysis of solutions to a general class of nonlinear Schrödinger equations with lack of compactness. The problem is driven by a nonhomogeneous differential operator with unbalanced growth, which was introduced by Azzollini [1]. The reaction is the sum of a nonautonomous power-type nonlinearity with subcritical growth and an indefinite potential. Our main result establishes the existence of at least one nontrivial solution in the case of low
more » ... in the case of low perturbations. The proof combines variational methods, analytic tools, and energy estimates.
doi:10.1515/anona-2020-0064 fatcat:c7pn4gu3czeglkkolpc5u3gz4i