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- W2963977167 abstract "This work is devoted to the study of the boundary value problem (−1)αΔαu=(−1)kSk[u]+λf,x∈Ω⊂RN,u=∂nu=∂n2u=⋯=∂nα−1u=0,x∈∂Ω, where the k-Hessian Sk[u] is the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix and the datum f obeys suitable summability properties. We prove the existence of at least two solutions, of which at least one is isolated, strictly by means of variational methods. We look for the optimal values of α∈N that allow the construction of such an existence and multiplicity theory and also investigate how a weaker definition of the nonlinearity permits improving these results." @default.
- W2963977167 created "2019-07-30" @default.
- W2963977167 creator A5049881139 @default.
- W2963977167 date "2015-09-01" @default.
- W2963977167 modified "2023-10-18" @default.
- W2963977167 title "On polyharmonic regularizations of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>k</mml:mi></mml:math>-Hessian equations: Variational methods" @default.
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- W2963977167 doi "https://doi.org/10.1016/j.na.2015.06.004" @default.
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