Results 21 to 30 of about 475 (219)

Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities

Discrete Dynamics in Nature and Society, 2013
Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential ...
Lingling Zhang, Chengbo Zhai
doaj   +1 more source

Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives

Complexity, 2019
In this paper, we use fixed-point index to study the existence of positive solutions for a system of Hadamard fractional integral boundary value problems involving nonnegative nonlinearities.
Haiyan Zhang, Yaohong Li, Jiafa Xu
doaj   +1 more source

Infinitely Many Small Energy Solutions to the Double Phase Anisotropic Variational Problems Involving Variable Exponent

Axioms, 2023
This paper is devoted to double phase anisotropic variational problems for the case of a combined effect of concave–convex nonlinearities when the convex term does not require the Ambrosetti–Rabinowitz condition.
Jun-Hyuk Ahn, Yun-Ho Kim
doaj   +1 more source

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
openaire   +4 more sources

Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities

Abstract and Applied Analysis, 2012
By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.
Tsing-San Hsu, Huei-Li Lin
doaj   +1 more source

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
doaj   +1 more source

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
openaire   +2 more sources

Critical quasilinear elliptic problems using concave–convex nonlinearities [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
da Silva, E. D., Carvalho, M. L. M., Gonçalves, J. V., Goulart, C.   +3 more
openaire   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source