Nonlinear nonhomogeneous Dirichlet problems with singular and convection terms

Autor:	Youpei Zhang, Nikolaos S. Papageorgiou
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Dirichlet problem Algebra and Number Theory Partial differential equation Minimal positive solution Mathematical analysis Singular term lcsh:QA299.6-433 Fixed point lcsh:Analysis Differential operator Dirichlet distribution Truncation Nonlinear system symbols.namesake Ordinary differential equation Leray–Schauder alternative principle symbols Frozen variable method Analysis Mathematics Parametric statistics Nonlinear regularity
Zdroj:	Boundary Value Problems, Vol 2020, Iss 1, Pp 1-21 (2020)
ISSN:	1687-2770
DOI:	10.1186/s13661-020-01450-0
Popis:	We consider a nonlinear Dirichlet problem driven by a general nonhomogeneous differential operator and with a reaction exhibiting the combined effects of a parametric singular term plus a Carathéodory perturbation $f(z,x,y)$ f ( z , x , y ) which is only locally defined in $x \in {\mathbb {R}} $ x ∈ R . Using the frozen variable method, we prove the existence of a positive smooth solution, when the parameter is small.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dab09758ef9300af30e3b48f89215544 http://link.springer.com/article/10.1186/s13661-020-01450-0 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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