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- W2809193408 abstract "This work is focused on the study of the nonlinear elliptic higher order equation(−Δ)mu=Sk[−u]+λf,x∈RN, where the k-Hessian Sk[u] is the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix of the solution and the datum f belongs to a suitable functional space. This problem is posed in RN and we prove the existence of at least one solution by means of topological fixed point methods for suitable values of m∈N. Questions related to the regularity of the solutions and extensions of these results to the nonlocal setting are also addressed. On the way to construct these proofs, some technical results such as a fixed point theorem and a refinement of the critical Sobolev embedding, which could be of independent interest, are introduced." @default.
- W2809193408 created "2018-06-29" @default.
- W2809193408 creator A5049881139 @default.
- W2809193408 creator A5073985577 @default.
- W2809193408 date "2018-10-01" @default.
- W2809193408 modified "2023-10-18" @default.
- W2809193408 title "Polyharmonic k-Hessian equations in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W2809193408 doi "https://doi.org/10.1016/j.jde.2018.04.057" @default.
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