Results 41 to 50 of about 12,072 (286)

Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity [PDF]

open access: yes, 2013
In this paper we discuss the existence of infinitely many solutions for a nonlocal, nonlinear equation with homogeneous Dirichlet boundary data. Adapting the classical variational techniques used in order to study the standard Laplace equation with ...
Raffaella Servadei, SERVADEI, RAFFAELLA
core   +1 more source

Infinitely many solutions for a perturbed Schrödinger equation

open access: yesDynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOLO, Rossella   +2 more
openaire   +4 more sources

EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS [PDF]

open access: yesGlasgow Mathematical Journal, 2012
AbstractWe study the following nonlinear Dirichlet boundary value problem: where Ω is a bounded domain in ℝN(N ≥ 2) with a smooth boundary ∂Ω and g ∈ C(Ω × ℝ) is a function satisfying $\displaystyle \underset{|t|\rightarrow 0}{\lim}\frac{g(x, t)}{t}= \infty$ for all x ∈ Ω.
Zhong, Xuexiu, Zou, W.
openaire   +2 more sources

Infinitely many solutions for a mixed boundary value problem [PDF]

open access: yes, 2010
The existence of infinitely many solutions for a mixed boundary value problem is established.
TORNATORE, Elisabetta   +3 more
core   +1 more source

Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems

open access: yesBoundary Value Problems, 2009
We proved a multiplicity result for strongly indefinite semilinear elliptic systems −Δu+u=±1/(1+|x|a)|v|p−2v in ℝN, −Δv+v=±1/(1+|x|b)|u|q−2u in ℝN where a and b are positive numbers ...
Kuan-Ju Chen
doaj   +2 more sources

Infinitely many solutions for an elliptic problem involving critical nonlinearity [PDF]

open access: yes, 2010
We study the following elliptic problem ... Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational ...
Yan Shusen   +3 more
core   +1 more source

Infinitely Many Solutions for Derrick’s Equation

open access: yesAdvanced Nonlinear Studies, 2002
Abstract In this paper we study a class of field equations, in several space dimensions, which admits solitary waves. The equation is a vector-valued version of a field equation proposed by Derrick in 1964 as model for elementary particles. We show the existence of infinitely many solutions with arbitrary topological charge.
openaire   +1 more source

Infinitely many positive solutions for a double phase problem

open access: yesBoundary Value Problems, 2020
This paper is concerned with the existence of infinitely many positive solutions to a class of double phase problem. By variational methods and the theory of the Musielak–Orlicz–Sobolev space, we establish the existence of infinitely many positive ...
Bei-Lei Zhang, Bin Ge, Gang-Ling Hou
doaj   +1 more source

CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3

open access: yesMolecular Oncology, EarlyView.
PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh   +12 more
wiley   +1 more source

Infinitely many solutions for elliptic systems with critical exponents [PDF]

open access: yes, 2008
One class of critical growth elliptic systems of two equations is considered on a bounded domain. By using fountain theorem and concentration estimates, we establish the existence of infinitely many solutions in higher values of dimension N ...
Zhaoxia Liu   +3 more
core   +1 more source

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