Multi-bump type nodal solutions having a prescribed number of nodal domains : I

We prove for generic Kaluza–Klein metrics that any Laplacian eigenfunction has exactly two nodal domains unless it is invariant under the S 1 action.. We also construct an

Quelle est la différence majeure entre le PA Quelle est la différence majeure entre le PA d d ’une fibre de Purkinje et celui d ’une fibre de Purkinje et celui d ’une fibre

The outline of the paper is as follows. In Section 2, we recall the variational characterization of the problem and we prove Theorem 1 and some useful asymptotic estimates. Then,

Pistoia, On the existence and the profile of nodal solutions of elliptic equations involving critical growth,

The main results concern the existence and regularity of the minimal partitions and the characterization of the minimal partitions associated with nodal sets as the nodal domains

Three nodal solutions of singularly perturbed elliptic equations on domains without topology.. Trois solutions nodales d’équations elliptiques avec perturbations singulières dans

The condition f being odd in u allows the authors of [3] to use both positive and negative solutions at the same mountain pass level c as basic one-bump solutions which are glued

Tang, Existence and Uniqueness of multi-bump bound states of nonlinear Schr¨ odinger equations with electro- magnetic fields.. Clapp, Intertwining semiclassical bound states to