The authors prove existence and multiplicity of nontrivial weak solutions to the logarithmic Schrödinger equation using a new perturbative variational approach that overcomes the lack of C1-smoothness in the associated functional.
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On a class of logarithmic Schr\"odinger equations via perturbation method
The authors prove existence and multiplicity of nontrivial weak solutions to the logarithmic Schrödinger equation using a new perturbative variational approach that overcomes the lack of C1-smoothness in the associated functional.