Existence and concentration of solutions for a class of biharmonic equations

Details Existence and concentration of solutions for a class of biharmonic equations Existence and concentration of solutions for a class of biharmonic equations

2010-11-16

arxiv.org/abs/1011.3829v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

Some superlinear fourth order elliptic equations are considered. Ground
states are proved to exist and to concentrate at a point in the limit. The
proof relies on variational methods, where the existence and concentration of
nontrivial solutions are related to a suitable truncated equation.

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