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- W4205596890 abstract "Abstract Using a variational approach, we study the existence of solutions for the following class of quasilinear Schrödinger equations: where , , is a positive potential bounded away from zero and can be “large” at infinity, the nonlinearity is allowed to satisfy the exponential critical growth with respect to the Trudinger–Moser inequality. Precisely, behaves like as for some . This model of equation has been proposed in the theory of superfluid films in plasma physics. As for as we know, this the first work involving this class of operators and singular nonlinearities with exponential critical growth. Moreover, we are able to deal with exponents ." @default.
- W4205596890 created "2022-01-25" @default.
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- W4205596890 date "2022-01-01" @default.
- W4205596890 modified "2023-10-13" @default.
- W4205596890 title "Solutions for a class of singular quasilinear equations involving critical growth in R2$mathbb {R}^2$" @default.
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- W4205596890 doi "https://doi.org/10.1002/mana.201900240" @default.
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