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arXiv · 1410.3392

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

Debabrata Karmakar·Debdip Ganguly
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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.

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Debabrata Karmakar, Debdip Ganguly. 2015-10-03. Existence Results For Semilinear Problems in the Two Dimensional Hyperbolic Space Involving Critical Growth. https://arxiv.org/abs/1410.3392

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