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- W3204851480 abstract "We consider a double phase problem in RN −div(|∇u|p−2∇u+a(x)|∇u|q−2∇u)+V(x)(|u|p−2u+a(x)|u|q−2u)=f(x,u)with an unbounded potential V and reaction term f, which does not satisfy the Ambrosetti–Rabinowitz condition. A new functional setting was provided for this problem. Using the Fountain and Dual Fountain Theorem with Cerami condition, we obtain some existence of infinitely many solutions. Our result extends some recent work in the literature." @default.
- W3204851480 created "2021-10-11" @default.
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- W3204851480 date "2022-01-01" @default.
- W3204851480 modified "2023-10-18" @default.
- W3204851480 title "Infinitely many solutions for double phase problem with unbounded potential in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e22 altimg=si5.svg><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W3204851480 doi "https://doi.org/10.1016/j.na.2021.112580" @default.
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