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In this paper, we study the Schrodinger equation involving fractional p-Laplacian on the whole space of the form (−Δ)psu+V(x)|u|p−2u=λK(x)|u|p−2u+μQ(x)|u|p−2ulog|u|, with the sign-changing weight function Q and the possibly vanishing potential… Click to show full abstract
In this paper, we study the Schrodinger equation involving fractional p-Laplacian on the whole space of the form (−Δ)psu+V(x)|u|p−2u=λK(x)|u|p−2u+μQ(x)|u|p−2ulog|u|, with the sign-changing weight function Q and the possibly vanishing potential V. By using the relationship between fibering maps and the Nehari manifold, we obtain the existence of at least two nontrivial solutions.
Keywords:
involving fractional;
equation involving;
nehari manifold;
fractional laplacian;
sign changing
Journal Title: Journal of Mathematical Physics
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Mathematical Physics
Year Published: 2019
Link to full text (if available)
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recommendations!