In this work we prove the existence of solutions for a class of generalized Choquard equations involving the $$\Delta _\Phi $$ΔΦ-Laplacian operator. Our arguments are essentially based on variational methods.… Click to show full abstract
In this work we prove the existence of solutions for a class of generalized Choquard equations involving the $$\Delta _\Phi $$ΔΦ-Laplacian operator. Our arguments are essentially based on variational methods. One of the main difficulties in this approach is to use the Hardy–Littlewood–Sobolev inequality for nonlinearities involving N-functions. The methods developed in this paper can be extended to wide classes of nonlinear problems driven by nonhomogeneous operators.
Keywords:
equations driven;
choquard equations;
nonhomogeneous operators;
driven nonhomogeneous;
generalized choquard
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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recommendations!