Results 31 to 40 of about 113 (79)

Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity

Advances in Nonlinear Analysis, 2020
We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
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Small perturbations of critical nonlocal equations with variable exponents

Demonstratio Mathematica, 2023
In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
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Multiple solutions for critical Choquard-Kirchhoff type equations

Advances in Nonlinear Analysis, 2020
In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents,
Liang Sihua, Pucci Patrizia, Zhang Binlin   +2 more
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Existence and Asymptotic Behavior of Positive Solutions for a Class of Quasilinear Schrödinger Equations

Advanced Nonlinear Studies, 2018
In this paper, we study the quasilinear Schrödinger equation -Δ⁢u+V⁢(x)⁢u-γ2⁢(Δ⁢u2)⁢u=|u|p-2⁢u{-\Delta u+V(x)u-\frac{\gamma}{2}(\Delta u^{2})u=|u|^{p-2}u}, x∈ℝN{x\in\mathbb{R}^{N}}, where V⁢(x):ℝN→ℝ{V(x):\mathbb{R}^{N}\to\mathbb{R}} is a given potential,
Wang Youjun, Shen Yaotian
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Blow-Up Results for Higher-Order Evolution Differential Inequalities in Exterior Domains

Advanced Nonlinear Studies, 2019
We consider a higher-order evolution differential inequality in an exterior domain of ℝN{\mathbb{R}^{N}}, N≥3{N\geq 3}, with Dirichlet and Neumann boundary conditions.
Jleli Mohamed, Kirane Mokhtar, Samet Bessem   +2 more
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Multiplicity of positive solutions for a concave-convex fractional elliptic system with critical growth

Demonstratio Mathematica
In this paper, the following fractional elliptic system involving critical growth terms is considered(−Δ)su=αα+β|u|α−2u|v|β+λ|u|q−2u|x|γ, inΩ,(−Δ)sv=βα+β|u|α|v|β−2v+μ|v|q−2v|x|γ, inΩ,u=v=0, on∂Ω, $$\begin{cases}{\left(-{\Delta}\right)}^{s}u=\frac{\alpha }
Kang Qiao, Liao Jia-Feng
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Normalized solutions for the Choquard equation with potential and combined nonlinearities

Advances in Nonlinear Analysis
In this paper, we study multiple normalized solutions for the following Choquard equation:
Xing Wenjun, Suo Hongmin, Lei Chunyu
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The Move From Fujita Type Exponent to a Shift of It for a Class Of semilinear Evolution Equations With Time-dependent Damping

, 2023
Wanderley NUNES DO NASCIMENTO, Marcelo Rempel Ebert, Jorge Marques   +2 more
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The critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group

Demonstratio Mathematica
This paper is committed to the existence of multiple solutions for the critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group:
Ma Xueyan, Li Haoyan, Song Yueqiang
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Infinitely many solutions for Hamiltonian system with critical growth

Advances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
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