On the existence of nontrivial solutions for a nonlinear equation relative to a measure-valued Lagrangian on homogeneous spaces

Details On the existence of nontrivial solutions for a nonlinear equation relative to a measure-valued Lagrangian on homogeneous spaces On the existence of nontrivial solutions for a nonlinear equation relative to a measure-valued Lagrangian on homogeneous spaces

2000-10-11

arxiv.org/abs/math/0010102v1

Mathematics

Analysis of PDEs

LaTeX, 8 pages

Scientific paper

We prove the existence of a non-trivial solution for a nonlinear equation
related to a measure-valued Lagrangian. The result is based on a compact
embedding theorem of the Lagrangian domain and on the application of the
Mountain Pass Theorem joined to a Palais-Smale condition.

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