Nonlinear nonhomogeneous Robin problems with dependence on the gradient
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dc.type
JournalArticle
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dc.abstract.en
We consider a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term. Using a topological approach based on the Leray-Schauder alternative principle, together with truncation and comparison techniques, we show the existence of a smooth positive solution without imposing any global growth condition on the reaction term.
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dc.subject.en
nonhomogeneous differential operator
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dc.subject.en
Robin boundary condition
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dc.subject.en
Nonlinear regularity theory
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dc.subject.en
convection term
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dc.subject.en
Leray-Schauder alternative theorem
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dc.subject.en
positive solution
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dc.description.volume
2018
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dc.identifier.doi
10.1186/s13661-018-0936-8
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dc.identifier.eissn
1687-2770
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dc.title.journal
Boundary Value Problems
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dc.language.container
eng
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dc.affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
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dc.subtype
Article
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dc.identifier.articleid
17
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dc.rights.original
CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0