Results 31 to 40 of about 523 (145)
Nehari Manifold for Fractional Kirchhoff Systems with Critical Nonlinearity
Milan Journal of Mathematics, 2019 In this paper, we show the existence and multiplicity of positive solutions of the following fractional Kirchhoff system\\ \begin{equation} \left\{ \begin{array}{rllll} \mc L_M(u)&= f(x)|u|^{q-2}u+ \frac{2 }{ + }\left|u\right|^{ -2}u|v|^ & \text{in } ,\\ \mc L_M(v)&= g(x)|v|^{q-2}v+ \frac{2 }{ + }\left|u\right|^ |v|^{ -2}v ...
do Ó, J. M. +2 more
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Electronic Research Archive, 2022 In this paper, we consider a class of critical Schrödinger-Bopp-Podolsky system. By virtue of the Nehari manifold and variational methods, we study the existence, nonexistence and asymptotic behavior of ground state solutions for this problem.
Senli Liu, Haibo Chen
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On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances in Nonlinear Analysis, 2019 In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
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A geometrical view of the Nehari manifold [PDF]
Methods and Applications of Analysis, 2012 We study the Nehari manifold N associated to the boundary value problem −∆u = f(u) , u ∈ H 0 (Ω) , where Ω is a bounded regular domain in Rn. Using elementary tools from Differential Geometry, we provide a local description of N as an hypersurface of the Sobolev space H1 0 (Ω). We prove that, at any point u ∈ N , there exists an exterior tangent sphere
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Existence of Weak Solutions for Nonlinear Time-Fractional p-Laplace Problems
Journal of Applied Mathematics, 2014 The existence of weak solution for p-Laplace problem is studied in the paper. By exploiting the relationship between the Nehari manifold and fibering maps and combining the compact imbedding theorem and the behavior of Palais-Smale sequences in the ...
Meilan Qiu, Liquan Mei
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Second-order derivative of domain-dependent functionals along Nehari manifold trajectories [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2020 Assume that a family of domain-dependent functionals EΩt possesses a corresponding family of least energy critical points ut which can be found as (possibly nonunique) minimizers of EΩt over the associated Nehari manifold N(Ωt). We obtain a formula for the second-order derivative of EΩt with respect to t along Nehari manifold trajectories of the form ...
Vladimir Bobkov, Sergey Kolonitskii
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Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping [PDF]
Mathematica Moravica, 2021 A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow
Ferreira Jorge +3 more
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On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent
Journal of Function Spaces, 2022 In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial ...
Mohammed El Mokhtar ould El Mokhtar
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Critical Point Localization and Multiplicity Results in Banach Spaces Via Nehari Manifold Technique
In the paper, results on the existence of critical points in annular subsets of a cone are obtained with the additional goal of obtaining multiplicity results. Compared to other approaches in the literature based on the use of Krasnoselskii's compression-extension theorem or topological index methods, our approach uses the Nehari manifold technique in ...
Andrei Stan, Radu Precup
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Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system
Electronic Journal of Differential Equations, 2020 We study the existence of positive solutions for gradient type cooperative, competitive elliptic systems, which depends on real parameters $\lambda,\mu$. Our analysis is purely variational and depends on finer estimates with respect to the Nehari sets,
Kaye Silva, Steffanio Moreno Sousa
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