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Solution to biharmonic equation with vanishing potential
(2013-01-01)
We establish a result on the existence of nontrivial solution for the following class of biharmonic elliptic equation where Δ2u = Δ(Δu), V and K are nonnegative potentials. K vanishes at infinity and f has a subcritical ...
Sobolev spaces of symmetric functions and applications
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
Trace operators of the bi-Laplacian and applications
(OXFORD UNIV PRESS, 2021)
We study several trace operators and spaces that are related to the bi-Laplacian. They are motivated by the development of ultraweak formulations for the bi-Laplace equation with homogeneous Dirichlet condition, but are ...
Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category
(ElsevierSan Diego, 2014-12-01)
In this paper we consider the fourth-order problem [...] where Ω is a smooth bounded domain in 'R POT.N', N ≥ 5 and '2 IND.∗" = 2N/(N − 4). We assume 2 ≤ s + 1 < '2 IND.∗' in case N ≥ 8 and '2 IND.∗' − 2 < s + 1 < '2 IND.∗' ...
Stable solutions for the bilaplacian with exponential nonlinearity
(Siam PublicationsPhiladelphiaEUA, 2007)
Singularly perturbed biharmonic problems with superlinear nonlinearities
(Khayyam Publ Co Inc, 2014)
Singularly perturbed biharmonic problems with superlinear nonlinearities
(Khayyam Publ Co Inc, 2014)