Results 71 to 80 of about 317,499 (205)
Mathematical Modelling and Analysis, 2020 In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain.
Jinguo Zhang, Tsing-San Hsu
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Rayleigh quotients of the level set manifolds related to the nonlinear PDE [PDF]
arXiv, 2021 The main topic of this note is a discussion of applicability conditions of the Nehari manifold method depending on the value of parameters of equations. As the main tool, we apply the nonlinear generalized Rayleigh quotient method.
arxiv
Critical nonlocal systems with concave-convex powers
, 2016 By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional $p$-Laplacian system involving critical concave-convex nonlinearities provided that a suitable smallness condition on the ...
Chen, Wenjing, Squassina, Marco
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Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
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Variational properties and orbital stability of standing waves for NLS equation on a star graph
, 2014 We study standing waves for a nonlinear Schr\"odinger equation on a star graph {$\mathcal{G}$} i.e. $N$ half-lines joined at a vertex. At the vertex an interaction occurs described by a boundary condition of delta type with strength $\alpha\leqslant 0 ...
Adami, R. +3 more
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Journal of Mathematical Analysis and Applications, 2012 AbstractIn this paper, we are concerned with the existence of multiple positive solutions for the singular quasilinear elliptic problem {−div(|x|−ap|∇u|p−2∇u)=λh(x)|u|m−2u+H(x)|u|n−2u,x∈Ω,u(x)=0,x∈∂Ω, where Ω⊂RN(N≥3) is a bounded domain with smooth boundary ∂Ω, 0∈Ω ...
Caisheng Chen +3 more
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Journal of Function Spaces, 2017 We study a singular Schrödinger-Kirchhoff-Poisson system by the variational methods and the Nehari manifold and we prove the existence, uniqueness, and multiplicity of positive solutions of the problem under different conditions.
Mengjun Mu, Huiqin Lu
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Journal of Function Spaces, 2020 In this paper, the nonlinear quasilinear elliptic problem with the logarithmic nonlinearity −div∇up−2∇u=axφpulogu+hxψpu in Ω⊂Rn was studied. By means of a double perturbation argument and Nehari manifold, the authors obtain the existence results.
Zhoujin Cui +4 more
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, we consider the weighted m‐biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow‐up of solutions in finite time.
Ayşe Fidan +3 more
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Journal of Function Spaces, 2020 In this paper, we prove the existence and multiplicity of positive solutions for a class of fractional p & q Laplacian problem with singular nonlinearity.
Dandan Yang, Chuanzhi Bai
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