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Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition

We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity $f$ is a Carathéodory function satisfying some hypotheses which do not include the Ambrosetti-Rabinowitz type condition. By using Variational methods, we investigate the multiplicity of solutions.

preprint2021arXivOpen access
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