English

Existence Results For Semilinear Problems in the Two Dimensional Hyperbolic Space Involving Critical Growth

Analysis of PDEs 2015-10-06 v3

Abstract

We consider semilinear elliptic problems on two-dimensional hyperbolic space involving critical growth. We first establish the Palais-Smale(P-S) condition and using (P-S) condition we obtain existence of solutions. In addition, we also explore existence of infinitely many sign changing solutions as well.

Keywords

Cite

@article{arxiv.1410.3392,
  title  = {Existence Results For Semilinear Problems in the Two Dimensional Hyperbolic Space Involving Critical Growth},
  author = {Debabrata Karmakar and Debdip Ganguly},
  journal= {arXiv preprint arXiv:1410.3392},
  year   = {2015}
}

Comments

Some new results added