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- W4308308129 abstract "We consider a non-local Shrödinger problem driven by the fractional Orlicz g-Laplace operator as follows(P)(−△g)αu+g(u)=K(x)f(x,u),inRd, where d≥3,(−△g)α is the fractional Orlicz g-Laplace operator, f:Rd×R→R is a measurable function and K is a positive continuous function. Employing the Nehari manifold method and without assuming the well-known Ambrosetti-Rabinowitz and differentiability conditions on the non-linear term f, we prove that the problem (P) has a ground state of fixed sign and a nodal (or sign-changing) solutions." @default.
- W4308308129 created "2022-11-10" @default.
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- W4308308129 date "2023-03-01" @default.
- W4308308129 modified "2023-10-18" @default.
- W4308308129 title "Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition" @default.
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- W4308308129 doi "https://doi.org/10.1016/j.jmaa.2022.126833" @default.
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