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Existence of critical points of functionals defined in Banach spaces by method of Nehari manifold

, 2020
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESIn this work we present a unified approach about the method of Nehari manifold for functionals which have a local minimum at 0 and we do some examples where this method is applied in ...
Sanches, Juliana Mancini
core  

Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in R^N

Electronic Journal of Differential Equations, 2014
In this article, we study a class of indefinite semilinear elliptic problems in R^N. By using the fibering maps and studying some properties of the Nehari manifold, we obtain the existence and multiplicity of positive solutions.
Yi-Hsin Cheng, Tsung-Fang Wu
doaj  

Existence Results for Singular p-Biharmonic Problem with HARDY Potential and Critical Hardy-Sobolev Exponent

Axioms
In this article, we consider the singular p-biharmonic problem involving Hardy potential and critical Hardy–Sobolev exponent. Firstly, we study the existence of ground state solutions by using the minimization method on the associated Nehari manifold ...
Gurpreet Singh
doaj   +1 more source

Singular elliptic systems involving concave terms and critical Caffarelli-Kohn-Nirenberg exponents

Electronic Journal of Differential Equations, 2012
In this article, we establish the existence of at least four solutions to a singular system with a concave term, a critical Caffarelli-Kohn-Nirenberg exponent, and sign-changing weight functions. Our main tools are the Nehari manifold and the mountain
Mohammed E. O. El Mokhtar
doaj  

Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity

Fractal and Fractional
We consider a Neumann problem for the fractional Laplacian involving a nonlocal Choquard-type nonlinearity and Sobolev–Hardy exponent. Under suitable assumptions on the data and using the Nehari manifold method, we discuss the existence problem in ...
Zhenfeng Zhang, Calogero Vetro, Tianqing An, Wei Chen   +3 more
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The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities

Communications on Pure and Applied Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Some applications of the Nehari manifold method to functionals in $C^1(X \setminus \{0\})$ [PDF]

Given a real Banach space $X$, we show that the Nehari manifold method can be applied to functionals which are $C^1$ in $X \setminus \{0\}$. In particular we deal with functionals that can be unbounded near $0$, and prove the existence of a ground state ...
Silva, Kaye, Leite, Edir Junior Ferreira, Quoirin, Humberto Ramos   +2 more
core   +1 more source

Existência e multiplicidade de soluções para problemas elípticos pelo método da variedade de Nehari

, 2015
In this work we will use the method of Nehari manifold to show the existence of ground states and multiple solutions to the following elliptical boundary problems nonlinearNeste trabalho usaremos o método da Variedade de Nehari para mostrar a existência ...
Leandro da Luz Vieira
core  

On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient

, 2017
We study applicability conditions of the Nehari manifold method to the equation of the form $D_u T(u)-\lambda D_u F(u)=0$ in a Banach space $W$, where $\lambda$ is a real parameter.
Il'yasov, Yavdat
core  

Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
doaj