Results 21 to 30 of about 521 (162)
International Journal of Differential EquationsThis paper is an attempt to establish the existence and multiplicity results of nontrivial solutions to singular systems with sign-changing weight, nonlinear singularities, and critical exponent.
Mohammed El Mokhtar Ould El Mokhtar +1 more
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The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function
Journal of Differential Equations, 2003 AbstractThe Nehari manifold for the equation −Δu(x)=λa(x)u(x)+b(x)|u(x)|ν−1u(x) for x∈Ω together with Dirichlet boundary conditions is investigated. Exploiting the relationship between the Nehari manifold and fibrering maps (i.e., maps of the form t→J(tu) where J is the Euler functional associated with the equation) we discuss how the Nehari manifold ...
K.J. Brown, Yanping Zhang
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Nehari manifold approach for a singular multi-phase variable exponent problem [PDF]
This paper is concerned with a singular multi-phase problem with variable singularities. The main tool used is the Nehari manifold approach. Existence of at least two positive solutions with positive-negative energy levels are obtained.
Mustafa Avcı
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On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient [PDF]
Topological Methods in Nonlinear Analysis, 2017 We study applicability conditions of the Nehari manifold method for the equation of the form $ D_u T(u)- D_u F(u)=0 $ in a Banach space $W$, where $ $ is a real parameter. Our study is based on the development of the theory Rayleigh's quotient for nonlinear problems.
Yavdat Il’yasov
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Proceedings of the American Mathematical Society, 2017 This paper is concerned with variational continuation of branches of solutions for nonlinear boundary value problems, which involve the p p -Laplacian, an indefinite nonlinearity, and depend on a real parameter λ \lambda .
Yavdat Il’yasov, Kaye Silva
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The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities
Communications on Pure & Applied Analysis, 2018 We study the combined effect of concave and convex nonlinearities on the numbers of positive solutions for a fractional equation involving critical Sobolev exponents. In this paper, we concerned with the following fractional equation \begin{document}$ \left\{ \begin{array}{l}{\left( { - \Delta } \right)^s}u = \lambda f\left( x ...
Qingfang Wang
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The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator [PDF]
Fractional Differential Calculus, 2016 Abdeljab ar Ghanmi, Kamel Saoudi
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On the existence of ground states of an equation of Schrödinger–Poisson–Slater type
Comptes Rendus. Mathématique, 2021 We study the existence of ground states of a Schrödinger–Poisson–Slater type equation with pure power nonlinearity. By carrying out the constrained minimization on a special manifold, which is a combination of the Pohozaev manifold and Nehari manifold ...
Lei, Chunyu, Lei, Yutian
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Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.
Hamed Alsulami +4 more
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The Nehari manifold for systems of nonlinear elliptic equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 Abstract This paper deals with the existence and multiplicity results of nonlocal positive solutions to the following system: - Δ p u = λ | u | p 1 - 2 u + ( α + 1 ) u | u | α - 1 | v | β + 1 , - Δ q v = μ | v | q - 2 v + ( β + 1 ) | u |
Khalid Adriouch, A. El Hamidi
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