Multiplicity Results for Semilinear Heterogeneous Problems in Exterior Domains of R < Sup > 2 < /Sup > Involving Subcritical or Critical Nonlinearities à la Trudinger-Moser

Authors

David Costa, University of Nevada, Las VegasFollow
Hossein Tehrani, University of Nevada, Las VegasFollow

Document Type

Article

Publication Date

6-1-2022

Publication Title

Journal of Mathematical Analysis and Applications

Volume

510

Issue

1

Abstract

Let Ω be an exterior domain in R2. We prove some multiplicity results, in the Beppo-Levi space, for solutions to the following boundary value problem −Δu=b(x)f(u)inΩ,u=0on∂Ω, where the nonnegative coefficient b(x) satisfies a suitable integrability assumption and the C1 nonlinearity f:R→R is superlinear at zero and infinity and has subcritical or critical growth at infinity in the sense of Trudinger-Moser.

Keywords

Critical growth; Exterior domain; R 2; Subcritical growth; Trudinger-Moser

Disciplines

Statistical, Nonlinear, and Soft Matter Physics

Repository Citation

Costa, D., Tehrani, H. (2022). Multiplicity Results for Semilinear Heterogeneous Problems in Exterior Domains of R < Sup > 2 < /Sup > Involving Subcritical or Critical Nonlinearities à la Trudinger-Moser. Journal of Mathematical Analysis and Applications, 510(1),
http://dx.doi.org/10.1016/j.jmaa.2022.125987