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math.AP2004★ 5 cited
A nonlinear fourth-order parabolic equation and related logarithmic Sobolev inequalities
J. Dolbeault, I. Gentil, A. Jungel
A nonlinear fourth-order parabolic equation in one space dimension with periodic boundary conditions is studied. This equation arises in the context of fluctuations of a stationary…
math.AP2003
Pseudodifferential operators on manifolds with a Lie structure at infinity
Bernd Ammann, Robert Lauter, Victor Nistor
Several examples of non-compact manifolds whose geometry at infinity is described by Lie algebras of vector fields (on a compactification of to a mani…
math.AP2002
Compact embeddings and indefinite semilinear elliptic problems
Matthias Schneider
Our purpose is to find positive solutions $u \in D^{1,2}(\rz^N)$ of the semilinear elliptic problem $-\laplace u = h(x) u^{p-1}$ for . The function may have an indefinite…