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Nonnegative solution of a class of double phase problems with logarithmic nonlinearity

Article scientifique 2022 Anglais

Résumé

Abstract This manuscript proves the existence of a nonnegative, nontrivial solution to a class of double-phase problems involving potential functions and logarithmic nonlinearity in the setting of Sobolev space on complete manifolds. Some applications are also being investigated. The arguments are based on the Nehari manifold and some variational techniques.

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Aberqi, A., Benslimane, O., Elmassoudi, M., Ragusa, M. (2022). Nonnegative solution of a class of double phase problems with logarithmic nonlinearity. https://doi.org/10.1186/s13661-022-01639-5

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Ahmed Aberqi Omar Benslimane Mhamed Elmassoudi Maria Alessandra Ragusa

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