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
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
An Investigation of an Integral Equation Involving Convex–Concave Nonlinearities
Mathematics, 2021 We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an approximation of the unique solution. The main
Ravi P. Agarwal +2 more
doaj +3 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
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 , $$ (-\Delta)_{p}^{s}u+V(x) \vert u \vert ^{p-2}u=h_{1}(x ...
Qiang Chen, Caisheng Chen, Yanling Shi
doaj +2 more sources
Positive solutions for a Schrödinger–Poisson system involving concave–convex nonlinearities
Computers and Mathematics With Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong-Min Suo
exaly +2 more sources
(p, q)-Equations with Singular and Concave Convex Nonlinearities [PDF]
Applied Mathematics & Optimization, 2020 AbstractWe consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian with $$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
Fractional weighted problems with a general nonlinearity or with concave‐convex nonlinearities [PDF]
Mathematical Methods in the Applied Sciences, 2020 We consider nonlocal problems in which the leading operator contains a sign‐changing weight which can be unbounded. We begin studying the existence and the properties of the first eigenvalue. Then we study a nonlinear problem in which the nonlinearity does not satisfy the usual Ambrosetti‐Rabinowitz condition.
Luigi Appolloni, Dimitri Mugnai
openaire +5 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
Advances in Difference Equations, 2020 We consider the combined effect of concave–convex nonlinearities on the number of solutions for an indefinite truncated Kirchhoff-type system involving the weight functions.
Qingjun Lou, Yupeng Qin
doaj +1 more source