Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds

Details Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds

2007-10-06

arxiv.org/abs/0710.1358v1

Mathematics

Analysis of PDEs

23 pages

Scientific paper

We show the existence of nodal solutions to perturbed quasilinear elliptic
equations with critical Sobolev exponent on compact Riemannian manifolds. A
nonexistence result is also given.

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