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• W2037608972 abstract "We show the existence and stability of solutions for a family of Dirichlet problems − div ( V z 1 ( x , ∇ u ) , … , V z N ( x , ∇ u ) ) + L u ( x , u ) = F u k ( x , u ) , u ∈ W 0 1 , p ( x ) ( Ω ) in a bounded domain and with nonconvex nonlinearity satisfying some local growth conditions. The conditions upon V and L allow for considering the p ( x ) -Laplacian equation. We use the relations between critical points and critical values to the primal and a suitable dual action functional to get the existence, stability and some properties of the solutions." @default.
• W2037608972 created "2016-06-24" @default.
• W2037608972 creator A5089946460 @default.
• W2037608972 date "2008-01-01" @default.
• W2037608972 modified "2023-09-24" @default.
• W2037608972 title "On a Dirichlet problem with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi>p</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-Laplacian" @default.
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• W2037608972 doi "https://doi.org/10.1016/j.jmaa.2007.03.096" @default.
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