A Kirchhoff-type problem involving concave-convex nonlinearities [PDF]
Advances in Difference Equations, 2021 A Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy.
Yuan Gao +3 more
doaj +3 more sources
Working with Convex Responses: Antifragility from Finance to Oncology [PDF]
Entropy, 2023 We extend techniques and learnings about the stochastic properties of nonlinear responses from finance to medicine, particularly oncology, where it can inform dosing and intervention. We define antifragility.
Nassim Nicholas Taleb, Jeffrey West
doaj +2 more sources
Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms [PDF]
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 +3 more sources
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*} (- )^s_pu &=& |u|^{q-1}u + |u|^{p^*_s-2}u \quad\mbox{in}\quad , u&=&0\quad\mbox{in}\quad\mathbb{R}^N\setminus , \end{eqnarray*} where $s\in(0,1)$ and $p\geq 2$ are fixed ...
Bhakta, Mousomi, Mukherjee, Debangana
openaire +4 more sources
Multiple solutions for fractional p-Laplace equation with concave-convex nonlinearities [PDF]
Boundary Value Problems, 2020 In this paper, we investigate the existence of solutions for the fractional p-Laplace equation ( − Δ ) p s u + V ( x ) | u | p − 2 u = h 1 ( x ) | u | q − 2 u + h 2 ( x ) | u | r − 2 u in R N , $$ (-\Delta)_{p}^{s}u+V(x) \vert u \vert ^{p-2}u=h_{1}(x ...
Qiang Chen, Caisheng Chen, Yanling Shi
doaj +2 more sources
Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities [PDF]
Abstract and Applied Analysis, 2012 We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term.
Leszek Gasiński +1 more
doaj +5 more sources
(p, q)-Equations with Singular and Concave Convex Nonlinearities [PDF]
Applied Mathematics & Optimization, 2020 AbstractWe consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian with $$1<q<p$$ 1 < q < p . The reaction is parametric and exhibits the competing effects of a singular term
Nikolaos S. Papageorgiou +1 more
openaire +2 more sources
Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.
Hamed Alsulami +4 more
doaj +1 more source
Choquard equations via nonlinear rayleigh quotient for concave-convex nonlinearities
Communications on Pure & Applied Analysis, 2021 <p style='text-indent:20px;'>It is established existence of ground and bound state solutions for Choquard equation considering concave-convex nonlinearities in the following form</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \begin{cases} -\Delta u +V ...
Carvalho, M. L. M. +2 more
openaire +4 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. +3 more
openaire +1 more source