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
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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
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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
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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
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Critical nonlocal systems with concave-convex powers
Advanced Nonlinear Studies, 2016 By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional $p$-Laplacian system involving critical concave-convex nonlinearities provided that a suitable smallness condition on the ...
Chen, Wenjing, Squassina, Marco
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Sign changing solutions of p-fractional equations with concave-convex nonlinearities [PDF]
Topological Methods in Nonlinear Analysis, 2017 In this article we study the existence of sign changing solution of the following p-fractional problem with concave-critical nonlinearities: \begin{eqnarray*} (-\Delta)^s_pu &=& \mu |u|^{q-1}u + |u|^{p^*_s-2}u \quad\mbox{in}\quad \Omega, u&=&0\quad ...
Bhakta, Mousomi, Mukherjee, Debangana
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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 , $$ (-\Delta)_{p}^{s}u+V(x) \vert u \vert ^{p-2}u=h_{1}(x ...
Qiang Chen, Caisheng Chen, Yanling Shi
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Positive solutions for a Schrödinger–Poisson system involving concave–convex nonlinearities
Computers & Mathematics with Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei, Chun-Yu, Suo, Hong-Min
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Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities [PDF]
Abstract and Applied Analysis, 2012 We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term.
Leszek Gasiński +1 more
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(p, q)-Equations with Singular and Concave Convex Nonlinearities [PDF]
Applied Mathematics & Optimization, 2020 AbstractWe consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian with $$1<q<p$$ 1 < q < p . The reaction is parametric and exhibits the competing effects of a singular term
Nikolaos S. Papageorgiou +1 more
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