On a Hamiltonian elliptic system with concave and convex nonlinearities

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43972198" target="_blank" >RIV/49777513:23520/23:43972198 - isvavai.cz</a>
Result on the web
<a href="https://www.aimsciences.org//article/doi/10.3934/dcdss.2023103" target="_blank" >https://www.aimsciences.org//article/doi/10.3934/dcdss.2023103</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2023103" target="_blank" >10.3934/dcdss.2023103</a>

Result language
angličtina
Original language name
On a Hamiltonian elliptic system with concave and convex nonlinearities
Original language description
In this work we study a Hamiltonian elliptic system of equations with Dirichlet boundary condition and with non-linearities that are concave near the origin and are convex and superlinear at infinity. The concavity of the non-linearities depends on non-negative parameters lambda and mu and we provide regions for the pairs (lambda, mu) guaranteeing existence and non-existence of nonnegative solutions. This work is inspired by the seminal work for the single equation done by Ambrosetti, Brezis and Cerami in 1994.
Czech name
—
Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA22-18261S" target="_blank" >GA22-18261S: Nonlinear problems with non-standard diffusion</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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