On a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in the whole space

Type: Article

Publication Date: 2023-06-30

Citations: 1

DOI: https://doi.org/10.3934/dcdss.2023136

Abstract

The aim of this paper is to establish some existence results for a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in $ \mathbb{R}^N $. Under some appropriate conditions, the existence of at least one nontrivial solutions is obtained by applying variational techniques.

Locations

  • Discrete and Continuous Dynamical Systems - S - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat Continuity of weak solutions to an elliptic problem on p$$ p $$‐fractional Laplacian 2023 Wei Chen
Qi Han
Guoping Zhan
+ Existence of Solutions for a Class of Fractional $$p-$$Laplacian Equations with Innovative Conditions 2025 A. Ben Hassine
+ Continuity of weak solutions to an elliptic problem on $p$-fractional Laplacian 2022 Wei Chen
Qi Han
Guoping Zhan
+ Existence and uniqueness of solutions for a fractional p-Laplacian problem in \mathbb{R}^N 2018 Ghania Benhamida
Toufik Moussaoui
Donal O’Regan
+ Existence, nonexistence, and multiplicity of solutions for the fractional p & q $p\&q$ -Laplacian equation in R N $\mathbb{R}^{N}$ 2016 Caisheng Chen
Jinfeng Bao
+ Existence of weak solutions for a fractional p-Laplacian equation in $$\mathbb R^N$$ R N 2016 Jiafa Xu
Donal O’Regan
Wei Dong
+ PDF Chat On a fractional p-q Laplacian equation with critical nonlinearity 2020 Zhen Zhi
Zuodong Yang
+ Arbitrary many positive solutions for a nonlinear problem involving the fractional Laplacian 2014 Jinguo Zhang
Xiaochun Liu
+ PDF Chat Least energy sign-changing solutions for a class of fractional $(p,q)$-Laplacian problems with critical growth in $\R^N$ 2022 Kun Cheng
Shenghao Feng
Li Wang
+ On the Pohozaev identity for the fractional $p$-Laplacian operator in $\mathbb{R}^N$ 2023 Vincenzo Ambrosio
+ PDF Chat Weak
 solution for fractional $p(x)$-Laplacian problem with Dirichlet-type
 boundary condition 2020 Abdelali Sabri
Ahmed Jamea
Hamad Talibi Alaoui
+ Least energy sign-changing solutions for a class of fractional $ (p, q) $-Laplacian problems with critical growth in $ \mathbb{R}^N $ 2023 Kun Cheng
Shenghao Feng
Li Wang
Yuangen Zhan
+ Existence of solutions for Schrödinger–Kirchhoff systems involving the fractional $p$-Laplacian in $\mathbb R^N$ 2021 Wei Chen
Nguyen Van Thin
+ The existence of constrained minimizers related to fractional $p$-Laplacian equations 2021 Qingjun Lou
Yupeng Qin
Fang Liu
+ Existence and multiplicity result for a fractional p-Laplacian equation with combined fractional derivatives 2017 CĂ©sar E. Torres Ledesma
Nemat Nyamoradi
+ PDF Chat Existence, multiplicity and concentration for a class of fractional <inline-formula><tex-math id="M1">\begin{document}$ p \& q $\end{document}</tex-math></inline-formula> Laplacian problems in <inline-formula><tex-math id="M2">\begin{document}$ \mathbb{R} ^{N} $\end{document}</tex-math></inline-formula> 2019 Claudianor O. Alves
Vincenzo Ambrosio
Teresa Isernia
+ Multiplicity of solutions for fractional $$q(\cdot )$$-laplacian equations 2023 Abita Rahmoune
Umberto Biccari
+ A system of equations involving the fractional $p$-Laplacian and doubly critical nonlinearities 2022 Mousomi Bhakta
Kanishka Perera
Firoj Sk
+ PDF Chat Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in RN 2024 Xin Zhang
Sihua Liang
+ A degenerate Kirchhoff-type problem involving variable $$s(\cdot )$$-order fractional $$p(\cdot )$$-Laplacian with weights 2023 Mostafa Allaoui
Mohamed Karim Hamdani
Lamine Mbarki