Results 41 to 50 of about 6,728 (222)

Stability of positive solutions of local partial differential equations with a nonlinear integral delay term

Electronic Journal of Qualitative Theory of Differential Equations, 2008
Stability properties of positive stationary solutions to local partial differential equations with delay are studied. The results are applied to equations with not necessarily convex (concave) nonlinearities, for example, to the diffusive Nicholson's ...
Alexander Rezounenko
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A critical fractional equation with concave–convex power nonlinearities

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2015
In this work we study the following fractional critical problem (P_{\lambda }) = \begin{cases} (−\mathrm{\Delta })^{s}u = \lambda u^{q} + u^{2_{s}^*−1},\:u > 0 & \text{in }\Omega , \\ u = 0 & \text{in }\mathbb{R}^{n} \setminus \Omega , \end{cases} where
B. Barrios, E. Colorado, R. Servadei, F. Soria   +3 more
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Distributed Reconstruction of Nonlinear Networks: An ADMM Approach [PDF]

, 2014
In this paper, we present a distributed algorithm for the reconstruction of large-scale nonlinear networks. In particular, we focus on the identification from time-series data of the nonlinear functional forms and associated parameters of large-scale ...
Pan, Wei, Sootla, Aivar, Stan, Guy-Bart
core   +2 more sources

MULTIPLICITY OF SOLUTIONS FOR DOUBLE PHASE EQUATIONS WITH CONCAVE-CONVEX NONLINEARITIES

Journal of Applied Analysis & Computation, 2021
Summary: This paper is devoted to the study of the \(L^\infty \)-bound of solutions to a double-phase problem with concave-convex nonlinearities by applying the De Giorgi's iteration method and the localization method. Employing this and a variant of Ekeland's variational principle, we provide the existence of at least two distinct nontrivial solutions
Joe, Woo Jin, Kim, Seong Jin, Kim, Yun-Ho, Oh, Min Wook   +3 more
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On the Elliptic Problems Involving Multisingular Inverse Square Potentials and Concave-Convex Nonlinearities

Abstract and Applied Analysis, 2011
A semilinear elliptic problem (𝐸𝜆) with concave-convex nonlinearities and multiple Hardy-type terms is considered. By means of a variational method, we establish the existence and multiplicity of positive solutions for problem (𝐸𝜆).
Tsing-San Hsu
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Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional $r(·)$-Laplacian in ${\mathbb{R}}^N$

Fractal and Fractional, 2023
This paper is concerned with the existence result of a sequence of infinitely many small energy solutions to the fractional r(·)-Laplacian equations of Kirchhoff–Schrödinger type with concave–convex nonlinearities when the convex term does not require ...
Yun-Ho Kim
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The Nehari manifold for fractional systems involving critical nonlinearities

, 2016
We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents.
He, Xiaoming, Squassina, Marco, Zou, Wenming   +2 more
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The (p,q)-elliptic systems with concave-convex nonlinearities

Differential Equations & Applications, 2017
Summary: Multiple positive solutions for the \((p,q)\)-elliptic systems with the concave-convex nonlinearities are obtained by using the Nehari manifold and the fibering method.
Liu, Xiaoqi, Ou, Zengqi
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Exact multiplicity of positive solutions in semipositone problems with concave-convex type nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2001
We study the existence, multiplicity, and stability of positive solutions to: $$\eqalign{- u''(x) &= \lambda f(u(x)) \ \text{for} \ x \in (-1, 1), \lambda > 0, \cr u(-1)&= 0\ = u(1) ,}$$ where $f : [0, \infty) \to \Bbb R$ is semipositone ($f(0) 0$, we ...
Joseph Iaia, S. Gadam
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Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian

Advanced Nonlinear Studies, 2020
In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P., Huerto Caqui E., Miyagaki O. H., Pereira F. R.   +3 more
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