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- W2912784085 abstract "In this paper, we study the following semilinear elliptic equations $ -triangle u+V(x)u=f(x, u), xin mathbb{R}^{N}, $ where $Vin C(mathbb{R}^{N}, mathbb{R})$ and $fin C(mathbb{R}^{N}timesmathbb{R}, mathbb{R})$. Under some suitable conditions, we prove that the equation has three solutions of mountain pass type: one positive, one negative, and sign-changing. Furthermore, if $f$ is odd with respect to its second variable, this problem has infinitely many sign-changing solutions." @default.
- W2912784085 created "2019-02-21" @default.
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- W2912784085 date "2019-01-01" @default.
- W2912784085 modified "2023-09-28" @default.
- W2912784085 title "MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS IN $mathbb{R}$<sup><i>N</i></sup>" @default.
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- W2912784085 doi "https://doi.org/10.11948/2019.12" @default.
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