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• W4386895114 abstract "Abstract In this work, we study the existence of the solution for a class of semilinear degenerate elliptic equations in the whole space involving the Grushin operator and a nonlinearity that involves the Grushin's critical growth and the exponential growth. The existence of at least one nontrivial weak solution is done by combining the mountain‐pass theorem, Trudinger–Moser inequality, and a version of a result due to Lions for the exponential growth in in the corresponding weighted Sobolev space." @default.
• W4386895114 created "2023-09-21" @default.
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• W4386895114 date "2023-09-19" @default.
• W4386895114 modified "2023-10-02" @default.
• W4386895114 title "Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth" @default.
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• W4386895114 doi "https://doi.org/10.1002/mana.202300171" @default.
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