Results 1 to 10 of about 113 (79)
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 206-242, December 2021., 2021 Abstract In this paper, we study a class of fractional Schrödinger equations involving logarithmic and critical non‐linearities on an unbounded domain, and show that such an equation with positive or sign‐changing weight potentials admits at least one positive ground state solution and the associated energy is positive (or negative).
Haining Fan, Zhaosheng Feng, Xingjie Yan
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Advances in Nonlinear Analysis, 2021 We are concerned with a class of Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical ...
Zhou Shuai, Liu Zhisu, Zhang Jianjun
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A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions
Advanced Nonlinear Studies, 2022 In the present article, we investigate the following Hénon-Lane-Emden elliptic system: −Δu=∣x∣avp,x∈RN,−Δv=∣x∣buq,x∈RN,\left\{\begin{array}{ll}-\Delta u={| x| }^{a}{v}^{p},& x\in {{\mathbb{R}}}^{N},\\ -\Delta v={| x| }^{b}{u}^{q},& x\in {{\mathbb{R}}}^{N}
Li Hang
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Advances in Nonlinear Analysis, 2023 This work is concerned with the nonexistence of nontrivial nonnegative weak solutions for a quasilinear parabolic differential inequality with weighted nonlocal source term in the whole space, which involves weighted polytropic filtration operator or ...
Li Yuepeng, Fang Zhong Bo
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Fractional Hardy-Sobolev equations with nonhomogeneous terms
Advances in Nonlinear Analysis, 2021 This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi +2 more
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Advances in Nonlinear Analysis, 2021 We study the wave inequality with a Hardy ...
Jleli Mohamed +2 more
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Advanced Nonlinear Studies, 2023 We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin +3 more
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Advances in Nonlinear Analysis, 2021 In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
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Non-degeneracy of bubble solutions for higher order prescribed curvature problem
Advanced Nonlinear Studies, 2022 In this article, we are concerned with the following prescribed curvature problem involving polyharmonic operator on SN{{\mathbb{S}}}^{N}: Dmu=K(∣y∣)um∗−1,u>0inSN,u∈Hm(SN),{D}^{m}u=K\left(| y| ){u}^{{m}^{\ast }-1},\hspace{1.0em}u\gt 0\hspace{0.33em ...
Guo Yuxia, Hu Yichen
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Advanced Nonlinear Studies, 2020 In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
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