Abstract
We will focus on the existence of nontrivial solutions to the following nonlinear elliptic equation -Δu + V (x)u = f (u), x ∈ R2, where V is a nonnegative function which can vanish at infinity or be unbounded from above, and f have exponential growth range. The proof involves a truncation argument combined with Mountain Pass Theorem and a Trudinger-Moser type inequality.
Original language | English |
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Pages (from-to) | 325-351 |
Number of pages | 27 |
Journal | Proyecciones |
Volume | 38 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2019 |
Bibliographical note
Publisher Copyright:© 2019, Proyecciones Journal of Mathematics.
Keywords
- Nonlinear elliptic equations
- Trudinger- Moser inequality
- Vanishing potentials