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Infinitely Many Solutions for Perturbed Hemivariational Inequalities [PDF]

open access: yesBoundary Value Problems, 2010
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the -Laplacian. We show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the ...
Giuseppina D'Aguì   +1 more
doaj   +7 more sources

Infinitely Many Solutions of Superlinear Elliptic Equation [PDF]

open access: yesAbstract and Applied Analysis, 2013
Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN  (N>2) is a bounded domain with smooth boundary and f is odd in u and ...
Anmin Mao, Yang Li
doaj   +6 more sources

Infinitely many solutions at a resonance [PDF]

open access: yesElectronic Journal of Differential Equations, 2000
We use bifurcation theory to show the existence of infinitely many solutions at the first eigenvalue for a class of Dirichlet problems in one dimension.
Philip Korman, Yi Li
doaj   +6 more sources

Infinitely Many Solutions for a Robin Boundary Value Problem [PDF]

open access: yesInternational Journal of Differential Equations, 2010
By combining the embedding arguments and the variational methods, we obtain infinitely many solutions for a class of superlinear elliptic problems with the Robin boundary value under weaker conditions.
Aixia Qian, Chong Li
doaj   +6 more sources

Infinitely many solutions for Schrödinger–Newton equations [PDF]

open access: yesCommunications in Contemporary Mathematics, 2023
We prove the existence of infinitely many non-radial positive solutions for the Schrödinger–Newton system [Formula: see text] provided that [Formula: see text] has the following behavior at infinity: [Formula: see text] where [Formula: see text] and [Formula: see text] are some positive constants.
Hu Y., Jevnikar A., Xie W.
openaire   +3 more sources

Infinitely many non-radial solutions for a Choquard equation

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we consider the non-linear Choquard equation −Δu+V(∣x∣)u=∫R3∣u(y)∣2∣x−y∣dyuinR3,-\Delta u+V\left(| x| )u=\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}\frac{| u(y){| }^{2}}{| x-y| }{\rm{d}}y\right)u\hspace{1.0em}\hspace{0.1em}\text{in}\
Gao Fashun, Yang Minbo
doaj   +2 more sources

Infinitely Many Periodic Solutions for Variable Exponent Systems

open access: yesJournal of Inequalities and Applications, 2009
We mainly consider the system in , in , where are periodic functions, and is called -Laplacian. We give the existence of infinitely many periodic solutions under some conditions.
Lu Mingxin, Guo Xiaoli, Zhang Qihu
doaj   +4 more sources

Existence of infinitely many solutions for a quasilinear elliptic equation

open access: yesApplied Mathematics Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianhua Tang
exaly   +2 more sources

A construction of infinitely many solutions to the Strominger system [PDF]

open access: yesJournal of Differential Geometry, 2021
17 pages, comments welcome!
Fei, Teng   +2 more
openaire   +4 more sources

Infinitely many positive solutions of nonlinear Schrödinger equations [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2021
AbstractThe paper deals with the equation $$-\Delta u+a(x) u =|u|^{p-1}u $$ - Δ u + a ( x ) u
Molle R., Passaseo D.
openaire   +6 more sources

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