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- W2473710826 abstract "Abstract The existence of multiple solutions to a Dirichlet problem involving the <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>p</m:mi> <m:mo>,</m:mo> <m:mi>q</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:math> ${(p,q)}$ -Laplacian is investigated via variational methods, truncation-comparison techniques, and Morse theory. The involved reaction term is resonant at infinity with respect to the first eigenvalue of <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mo>-</m:mo> <m:msub> <m:mi mathvariant=normal>Δ</m:mi> <m:mi>p</m:mi> </m:msub> </m:mrow> </m:math> ${-Delta_{p}}$ in <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:msubsup> <m:mi>W</m:mi> <m:mn>0</m:mn> <m:mrow> <m:mn>1</m:mn> <m:mo>,</m:mo> <m:mi>p</m:mi> </m:mrow> </m:msubsup> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi mathvariant=normal>Ω</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:math> ${W^{1,p}_{0}(Omega)}$ and exhibits a concave behavior near zero." @default.
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- W2473710826 date "2015-12-04" @default.
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- W2473710826 title "Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity" @default.
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- W2473710826 doi "https://doi.org/10.1515/ans-2015-5011" @default.
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