Matches in SemOpenAlex for { <https://semopenalex.org/work/W3197254242> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W3197254242 endingPage "2253" @default.
- W3197254242 startingPage "2253" @default.
- W3197254242 abstract "<p style='text-indent:20px;'>This paper is concerned with the study of multiple positive solutions to the following elliptic problem involving a nonhomogeneous operator with nonstandard growth of <inline-formula><tex-math id=M1>begin{document}$ p $end{document}</tex-math></inline-formula>-<inline-formula><tex-math id=M2>begin{document}$ q $end{document}</tex-math></inline-formula> type and singular nonlinearities</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id=FE1> begin{document}$ left{ begin{alignedat}{2} {} - mathcal{L}_{p,q} u & {} = lambda frac{f(u)}{u^gamma}, u>0 && quadmbox{ in } , Omega, u & {} = 0 && quadmbox{ on } partialOmega, end{alignedat} right. $end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>where <inline-formula><tex-math id=M3>begin{document}$ Omega $end{document}</tex-math></inline-formula> is a bounded domain in <inline-formula><tex-math id=M4>begin{document}$ mathbb{R}^N $end{document}</tex-math></inline-formula> with <inline-formula><tex-math id=M5>begin{document}$ C^2 $end{document}</tex-math></inline-formula> boundary, <inline-formula><tex-math id=M6>begin{document}$ N geq 1 $end{document}</tex-math></inline-formula>, <inline-formula><tex-math id=M7>begin{document}$ lambda >0 $end{document}</tex-math></inline-formula> is a real parameter,</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id=FE2> begin{document}$ mathcal{L}_{p,q} u : = {rm{div}}(|nabla u|^{p-2} nabla u + |nabla u|^{q-2} nabla u), $end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'><inline-formula><tex-math id=M8>begin{document}$ 1<p<q< infty $end{document}</tex-math></inline-formula>, <inline-formula><tex-math id=M9>begin{document}$ gamma in (0,1) $end{document}</tex-math></inline-formula>, and <inline-formula><tex-math id=M10>begin{document}$ f $end{document}</tex-math></inline-formula> is a continuous nondecreasing map satisfying suitable conditions. By constructing two distinctive pairs of strict sub and super solution, and using fixed point theorems by Amann [<xref ref-type=bibr rid=b1>1</xref>], we prove existence of three positive solutions in the positive cone of <inline-formula><tex-math id=M11>begin{document}$ C_delta(overline{Omega}) $end{document}</tex-math></inline-formula> and in a certain range of <inline-formula><tex-math id=M12>begin{document}$ lambda $end{document}</tex-math></inline-formula>.</p>" @default.
- W3197254242 created "2021-09-13" @default.
- W3197254242 creator A5080078256 @default.
- W3197254242 date "2022-01-01" @default.
- W3197254242 modified "2023-10-18" @default.
- W3197254242 title "Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities" @default.
- W3197254242 cites W1597187373 @default.
- W3197254242 cites W1965567006 @default.
- W3197254242 cites W1965747685 @default.
- W3197254242 cites W2009824690 @default.
- W3197254242 cites W2022238895 @default.
- W3197254242 cites W2035525127 @default.
- W3197254242 cites W2059869453 @default.
- W3197254242 cites W2073200116 @default.
- W3197254242 cites W2094247338 @default.
- W3197254242 cites W2105774661 @default.
- W3197254242 cites W2146172946 @default.
- W3197254242 cites W2964002609 @default.
- W3197254242 cites W3099080912 @default.
- W3197254242 cites W3102632985 @default.
- W3197254242 cites W3155315143 @default.
- W3197254242 cites W3169811400 @default.
- W3197254242 cites W4239006344 @default.
- W3197254242 doi "https://doi.org/10.3934/cpaa.2022056" @default.
- W3197254242 hasPublicationYear "2022" @default.
- W3197254242 type Work @default.
- W3197254242 sameAs 3197254242 @default.
- W3197254242 citedByCount "4" @default.
- W3197254242 countsByYear W31972542422022 @default.
- W3197254242 countsByYear W31972542422023 @default.
- W3197254242 crossrefType "journal-article" @default.
- W3197254242 hasAuthorship W3197254242A5080078256 @default.
- W3197254242 hasBestOaLocation W31972542421 @default.
- W3197254242 hasConcept C114614502 @default.
- W3197254242 hasConcept C121332964 @default.
- W3197254242 hasConcept C134306372 @default.
- W3197254242 hasConcept C2779557605 @default.
- W3197254242 hasConcept C33923547 @default.
- W3197254242 hasConcept C34388435 @default.
- W3197254242 hasConcept C62520636 @default.
- W3197254242 hasConceptScore W3197254242C114614502 @default.
- W3197254242 hasConceptScore W3197254242C121332964 @default.
- W3197254242 hasConceptScore W3197254242C134306372 @default.
- W3197254242 hasConceptScore W3197254242C2779557605 @default.
- W3197254242 hasConceptScore W3197254242C33923547 @default.
- W3197254242 hasConceptScore W3197254242C34388435 @default.
- W3197254242 hasConceptScore W3197254242C62520636 @default.
- W3197254242 hasIssue "6" @default.
- W3197254242 hasLocation W31972542421 @default.
- W3197254242 hasLocation W31972542422 @default.
- W3197254242 hasOpenAccess W3197254242 @default.
- W3197254242 hasPrimaryLocation W31972542421 @default.
- W3197254242 hasRelatedWork W1598979804 @default.
- W3197254242 hasRelatedWork W1967523034 @default.
- W3197254242 hasRelatedWork W1978042415 @default.
- W3197254242 hasRelatedWork W2018828049 @default.
- W3197254242 hasRelatedWork W2042726902 @default.
- W3197254242 hasRelatedWork W2046712581 @default.
- W3197254242 hasRelatedWork W2136053165 @default.
- W3197254242 hasRelatedWork W2370340664 @default.
- W3197254242 hasRelatedWork W2951043270 @default.
- W3197254242 hasRelatedWork W3102909640 @default.
- W3197254242 hasVolume "21" @default.
- W3197254242 isParatext "false" @default.
- W3197254242 isRetracted "false" @default.
- W3197254242 magId "3197254242" @default.
- W3197254242 workType "article" @default.