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Journal of Hebei University of Science and Technology, 2022 In order to enrich the basic theory of boundary value problems of fractional (p,q)[KG-*2]-[KG-*3]difference equations,the solvability of nonlocal problems for a class of nonlinear fractional (p,q)[KG-*2]-[KG-*3]difference equations was investigated ...
Jufang WANG, Si WANG, Changlong YU
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Fractional p&q-Laplacian problems with potentials vanishing at infinity [PDF]
Opuscula Mathematica, 2020 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(
Teresa Isernia
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Boundary Value Problems, 2020 Here, a nonlocal nonlinear operator known as the fractional ( p , q ) $(p,q)$ -Laplacian is considered. The existence of a mountain pass solution is proved via critical point theory and variational methods.
F. Behboudi, A. Razani, M. Oveisiha
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Nonexistence of global solutions of fractional diffusion equation with time-space nonlocal source
Advances in Difference Equations, 2020 We prove the nonexistence of solutions of the fractional diffusion equation with time-space nonlocal source u t + ( − Δ ) β 2 u = ( 1 + | x | ) γ ∫ 0 t ( t − s ) α − 1 | u | p ∥ ν 1 q ( x ) u ∥ q r d s $$\begin{aligned} u_{t} + (-\Delta )^{\frac{\beta ...
Abderrazak Nabti +3 more
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On a fractional p-q Laplacian equation with critical nonlinearity
Journal of Inequalities and Applications, 2020 In this paper, we consider the existence of nontrivial solutions for a fractional p-q Laplacian equation with critical nonlinearity in a bounded domain. Our approach is based on variational methods and some analytical techniques.
Zhen Zhi, Zuodong Yang
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Boundary Value Problems, 2022 In this paper, we study the fractional Schrödinger equation { ( − Δ ) s u + u = a ( x ) | u | p − 2 u + b ( x ) | u | q − 2 u , u ∈ H s ( R N ) , $$ \textstyle\begin{cases} (-\Delta )^{s}u+u=a(x) \vert u \vert ^{p-2}u+b(x) \vert u \vert ^{q-2}u, \\ u\in ...
Yongpeng Chen, Baoxia Jin
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Advances in Difference Equations, 2019 In this paper, by using the least action principle, an existence result of nontrivial weak solutions for a class of fractional impulsive coupled systems with (p,q) $(p,q)$-Laplacian is obtained if the nonlinear term has sub- (p,q) $(p,q)$ linear growth ...
Cuiling Liu, Xingyong Zhang, Junping Xie
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Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities
Advances in Nonlinear Analysis, 2022 In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
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Boundary Value Problems, 2022 We are concerned with the existence and nonexistence of global weak solutions for a certain class of time-fractional inhomogeneous pseudo-parabolic-type equations involving a nonlinearity of the form | u | p + ι | ∇ u | q $|u|^{p}+\iota |\nabla u|^{q}$ ,
Areej Bin Sultan +3 more
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Mathematics, 2022 We discuss the solvability of a (p,q)-difference equation of fractional order α∈(1,2], equipped with anti-periodic boundary conditions involving the first-order (p,q)-difference operator.
Ravi P. Agarwal +2 more
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