Comptes Rendus Mathématique · 2014 · 46 citations · 13 references
EngineeringComputational EngineeringComputational MechanicsBoundary ConditionsEquations Of StateGreen's FunctionsKirchhoff's LawsEquation Of State Near CriticalityNonlinear Boundary-value ProblemsNonlinear Variational ProblemsNonlinearity
This paper deals with a p -Kirchhoff type problem involving the critical Sobolev exponent. Under some suitable assumptions, we show the existence of at least one solution.
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Ivar Ekeland · Journal of Mathematical Analysis and Applications · 1974 · 2.3K citations · Full text
Remarks on an elliptic equation of Kirchhoff type
Nonlinear Analysis · 2005 · 184 citations