Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity [PDF]
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
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Infinitely many solutions for a perturbed Schrödinger equation
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BARTOLO, Rossella +2 more
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EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS [PDF]
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.
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Infinitely many solutions for a mixed boundary value problem [PDF]
The existence of infinitely many solutions for a mixed boundary value problem is established.
TORNATORE, Elisabetta +3 more
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Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems
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
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Infinitely many solutions for an elliptic problem involving critical nonlinearity [PDF]
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
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Infinitely Many Solutions for Derrick’s Equation
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.
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Infinitely many positive solutions for a double phase problem
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
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CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3
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
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Infinitely many solutions for elliptic systems with critical exponents [PDF]
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
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