Fractional p&q-Laplacian problems with potentials vanishing at infinity
In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional \(p\&q\)-Laplacian problems \[\begin{aligned} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(x) f(u) \quad \text{ in } \mathbb{R}^{N},...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2020-02-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol40/1/art/opuscula_math_4006.pdf |