Results 11 to 20 of about 969 (93)
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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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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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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Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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Moroccan Journal of Pure and Applied Analysis, 2023 We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r in Ω,u∈W2,p(.)
Jennane Mohsine, Alaoui My Driss Morchid
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On double phase Kirchhoff problems with singular nonlinearity
Advances in Nonlinear Analysis, 2023 In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh +3 more
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Existence and multiplicity of solutions for a class of p-Kirchhoff-type equation RN
Open Mathematics, 2023 This article shows the existence and multiplicity of solutions for the following pp-Kirchhoff-type equation: a+b∫RN(∣∇u∣p+V(x)∣u∣p)dx(−△pu+V(x)∣u∣p−2u)=λg(x)∣u∣r−2u−h(x)∣u∣q−2u,inRN.\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}\left({| \nabla u| }^{
Chen Lijuan +2 more
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Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth
Advances in Nonlinear Analysis, 2023 In this article, we study the following system: −Δu+V(x)u−(2ω+ϕ)ϕu=λf(u)+∣u∣4u,inR3,Δϕ+βΔ4ϕ=4π(ω+ϕ)u2,inR3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=\lambda f\left(u)+| u{| }^{4}u,& \hspace{0.1em}\text{in}\hspace{0.1em ...
He Chuan-Min, Li Lin, Chen Shang-Jie
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Multiple Periodic Solutions of a Class of Fractional Laplacian Equations
Advanced Nonlinear Studies, 2021 In this paper, we study the existence of multiple periodic solutions for the following fractional equation:
Cui Ying-Xin, Wang Zhi-Qiang
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Perturbation results for some nonlinear equations involving fractional operators [PDF]
, 2012 By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.Comment: 14 ...
Secchi, Simone
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