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- W2949676472 abstract "In this work it is studied a quasilinear elliptic problem in the whole space $mathbb{R}^N$ involving the $1-$Laplacian operator, with potentials which can vanish at infinity. The Euler-Lagrange functional is defined in a space whose definition resembles $BV(mathbb{R}^N)$ and, in order to avoid working with extensions of it to some Lebesgue space, we state and prove a version of the Mountain Pass Theorem without the Palais-Smale condition to Lipschitz continuous functionals." @default.
- W2949676472 created "2019-06-27" @default.
- W2949676472 creator A5043346316 @default.
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- W2949676472 date "2016-11-21" @default.
- W2949676472 modified "2023-09-27" @default.
- W2949676472 title "Existence of bounded variation solutions for a $1-$Laplacian problem with vanishing potentials" @default.
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- W2949676472 doi "https://doi.org/10.48550/arxiv.1611.06719" @default.
- W2949676472 hasPublicationYear "2016" @default.
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