Existence of positive ground solutions for biharmonic equations via Pohožaev-Nehari manifold
, 2018 We investigate the following nonlinear biharmonic equations with pure power nonlinearities: \begin{equation*} \begin{cases} \triangle^2u-\triangle u+V(x)u= u^{p-1}u &\text{in } \mathbb{R}^N,\\ u> 0 &\text{for } u\in H^2(\mathbb{R}^N), \end ...
Chen, Haibo, Xu, Liping
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Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]
ScientificWorldJournal, 2014 Sun G, Mai A.
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Multiple solutions for a fractional $p$-Kirchhoff system with singular nonlinearity
Electronic Journal of Qualitative Theory of Differential EquationsThis paper examines a class of fractional p-Kirchhoff systems driven by a nonlocal integro-differential operator with singular nonlinearity. By making use of Nehari manifold techniques, the existence of two nontrivial solutions is established.
Zijian Wu
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, 2018 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Processo FAPESP: 2017/01756-2CNPq: 442520/2014-0In this work we prove some abstract results about the existence of a ...
Pimenta, Marcos T. O. [UNESP] +2 more
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Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities
Electronic Journal of Differential Equations, 2014 In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
doaj
Multiple solutions for a singular quasilinear elliptic system. [PDF]
ScientificWorldJournal, 2013 Chen L, Chen C, Xiu Z.
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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
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Combined effects of changing-sign potential and critical nonlinearities in Kirchhoff type problems
Electronic Journal of Differential Equations, 2016 In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type problems involving changing-sign potential and critical growth terms.
Gao-Sheng Liu, Liu-Tao Guo, Chun-Yu Lei
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Ground state solutions for asymptotically periodic Schrodinger-Poisson systems in R^2
Electronic Journal of Differential Equations, 2018 This article concerns the planar Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+\phi u=f(x,u), \quad x\in \mathbb{R}^2,\cr \Delta \phi= u^2, \quad x\in \mathbb{R}^2, } $$ where V(x) and f(x, u) are periodic or asymptotically periodic in
Jing Chen, Sitong Chen, Xianhua Tang
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Effect of Weight Function for a Semilinear Elliptic Equation
, 2012 [[abstract]]本論文中，我們觀察半線性橢圓方程中具有變號的加權函數裡，結合了凹凸非線性項的解個數。透過Nehari 流形，我們證明出在這有界的值域下，至少會有兩個解。 In this thesis, we study the combined effect of concave and convex nonlinearities on the number of solutions for a semilinear elliptic equation with sign-changing ...
戴偉恭
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