Results 1 to 10 of about 41 (41)
Non-degeneracy of multi-peak solutions for the Schrödinger-Poisson problem
Advanced Nonlinear Studies, 2023 In this article, we consider the following Schrödinger-Poisson problem: −ε2Δu+V(y)u+Φ(y)u=∣u∣p−1u,y∈R3,−ΔΦ(y)=u2,y∈R3,\left\{\begin{array}{ll}-{\varepsilon }^{2}\Delta u+V(y)u+\Phi (y)u={| u| }^{p-1}u,& y\in {{\mathbb{R}}}^{3},\\ -\Delta \Phi (y)={u}^{2},
Chen Lin +3 more
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Nonautonomous Dynamical Systems, 2022 In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type {Au+g(x,u,∇u)=μ−div φ(u)in Ω,u=0on ∂Ω,\left\{ {\matrix{{Au + g\left( {x,u,\nabla u} \right) = \mu - div\,\phi \left( u \right)} \hfill &
Al-Hawmi Mohammed, Hjiaj Hassane
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Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity
Advances in Nonlinear Analysis, 2023 In the present article, we are concerned with the following problem: vt=Δv+∣x∣βev,x∈RN,t>0,v(x,0)=v0(x),x∈RN,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{v}_{t}=\Delta v+| x{| }^{\beta }{e}^{v},\hspace{1.0em}& x\in {{\mathbb{R}}}^{N},\hspace{0.
Gao Dongmei, Wang Jun, Wang Xuan
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Singular Finsler Double Phase Problems with Nonlinear Boundary Condition
Advanced Nonlinear Studies, 2021 In this paper, we study a singular Finsler double phase problem with a nonlinear boundary condition and perturbations that have a type of critical growth, even on the boundary.
Farkas Csaba +2 more
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On a class of critical elliptic systems in ℝ4
Advances in Nonlinear Analysis, 2020 In the present paper, we consider the following classes of elliptic systems with Sobolev critical growth:
Zhao Xin, Zou Wenming
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Acta Universitatis Sapientiae: Mathematica, 2022 This article shows the existence and multiplicity of weak solutions for the singular subelliptic system on the Heisenberg group {-Δℍnu+a(ξ)u(|z|4+t2)12=λFu(ξ,u,v)in Ω,-Δℍnv+b(ξ)v(|z|4+t2)12=λFv(ξ,u,v)in Ω,u=v=0on ∂Ω.\left\{ {\matrix{ { - {\Delta _{
Heidari S., Razani A.
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Asymptotic properties of critical points for subcritical Trudinger-Moser functional
Advanced Nonlinear Studies, 2023 On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
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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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Advanced Nonlinear Studies, 2021 In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
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Advanced Nonlinear Studies, 2017 In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene +2 more
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