Results 81 to 90 of about 740 (152)

Resultados de existência para equações elípticas com termos singulares

, 2013
Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
core  

The Nehari manifold and the existence of multiple solutions for a singular quasilinear elliptic equation

, 2012
In 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 ...
Xiu, Zonghu, Huang, Jincheng, Chen, Caisheng   +2 more
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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  

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  

Least energy solutions for indefinite biharmonic problems via modified Nehari–Pankov manifold

, 2018
In this paper, by using a modified Nehari–Pankov manifold, we prove the existence and the asymptotic behavior of least energy solutions for the following indefinite biharmonic equation: [Formula: see text] where [Formula: see text], [Formula: see text], [
Zhongwei Tang, Miaomiao Niu, Lushun Wang
core   +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
doaj   +1 more source

The Nehari Manifold for a Fractional p-Kirchhoff System Involving Sign-Changing Weight Function and Concave-Convex Nonlinearities

, 2019
In this paper, we are concerned with the following fractional p-Kirchhoff system with sign-changing nonlinearities: M(∫R2nux-uyp/x-yn+psdxdy)-Δpsu=λa(x)uq-2u+α/(α+β)f(x)uα-2uvβ,  in  Ω, M(∫R2n|v(x)-v(y)|p/|x-y|n+psdxdy)-Δpsv=μb(x)vq-2v+(β/α+β)f(x)uαvβ-2v,
Jiabin Zuo, Libo Yang, Xiangsheng Ren, Tianqing An   +3 more
core   +1 more source

Homoclinic Solutions for a Class of Nonlinear Difference Equations

Journal of Applied Mathematics, 2014
We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach.
Ali Mai, Zhan Zhou
doaj   +1 more source

The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities

Communications on Pure and Applied Analysis, 2018
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openaire   +3 more sources