A class of $p_1 (x, \cdot)$ \& $p_2 (x, \cdot)$-fractional Kirchhoff-type problem with variable $s(x, \cdot)$-order and without the Ambrosetti-Rabinowitz condition in $\mathbb{R}^N$

DOI10.1515/math-2022-0028zbMath1490.35160OpenAlexW4226189982MaRDI QIDQ2135069

Publication date: 4 May 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0028

zbMATH Keywords

critical point theory Kirchhoff-type equation fractional $p_1 (x,\cdot)$ \& $p_2 (x,\cdot)$-Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)

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A class of \(p_1 (x, \cdot)\) \& \(p_2 (x, \cdot)\)-fractional Kirchhoff-type problem with variable \(s(x, \cdot)\)-order and without the Ambrosetti-Rabinowitz condition in \(\mathbb{R}^N\)