Results 31 to 40 of about 475 (219)

Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain.
Xiaofei Cao, Junxiang Xu
doaj   +1 more source

Singular equations with variable exponents and concave-convex nonlinearities

Discrete and Continuous Dynamical Systems - S, 2023
Let \(\Omega \subseteq \mathbb{R}^N\) be a bounded domain with a \(C^2\)-boundary \(\partial \Omega\). The authors consider a parametric Dirichlet problem of the form \[ \begin{cases} -\operatorname{div}a(z,\nabla u(z))=\lambda (\xi(z) u(z)^{-\eta(z)} +u(z)^{\tau(z)-1})+f(z,u(z)) \quad\mbox{in } \Omega,\\ u \Big|_{\partial \Omega} =0, \, \lambda>0 ...
Gasiński, Leszek, Papageorgiou, Nikolaos S.   +1 more
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On a Dirichlet problem with (p,q)-Laplacian and parametric concave-convex nonlinearity [PDF]

Journal of Mathematical Analysis and Applications, 2019
A homogeneous Dirichlet problem with $(p,q)$-Laplace differential operator and reaction given by a parametric $p$-convex term plus a $q$-concave one is investigated. A bifurcation-type result, describing changes in the set of positive solutions as the parameter $λ>0$ varies, is proven.
S. A. Marano, G. Marino, N. S. Papageorgiou   +2 more
openaire   +3 more sources

A note on a dirichlet problem with concave-convex nonlinearity

Mathematica Slovaca, 2010
Abstract We prove an existence principle that would apply for elliptic problems with nonlinearity separating into a difference of derivatives of two convex functions in the case when the growth conditions are imposed only on the minuend term. We present abstract result and its application.
openaire   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Sign changing solutions of p-fractional equations with concave-convex nonlinearities [PDF]

Topological Methods in Nonlinear Analysis, 2018
In this article we study the existence of sign changing solution of the following p-fractional problem with concave-critical nonlinearities: \begin{eqnarray*} (-Δ)^s_pu &=& μ|u|^{q-1}u + |u|^{p^*_s-2}u \quad\mbox{in}\quad Ω, u&=&0\quad\mbox{in}\quad\mathbb{R}^N\setminusΩ, \end{eqnarray*} where $s\in(0,1)$ and $p\geq 2$ are fixed ...
Bhakta, Mousomi, Mukherjee, Debangana
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Data‐Driven Modeling of Composition–Processing–Microstructure Relations for Recycled Aluminum Cast Alloys

Advanced Science, EarlyView.
Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang, Waleed Mohammed, Dierk Raabe   +2 more
wiley   +1 more source

Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper, we consider the multiplicity of nontrivial solutions for a class of nonperiodic fourth-order equation with concave and convex nonlinearities.
Ruiting Jiang, Chengbo Zhai
doaj   +1 more source

Multiple solutions for a generalised Schrödinger problem with “concave–convex” nonlinearities

Zeitschrift für angewandte Mathematik und Physik, 2019
A class of generalized Schrödinger elliptic problems involving concave-convex and other types of nonlinearities is studied. A reasonable overview about the set of solutions is provided when the parameters involved in the equation assume different real values.
Santos, Andrelino V., Santos Júnior, João R.   +1 more
openaire   +3 more sources