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Multiplicity Results for the Biharmonic Equation with Singular Nonlinearity of Super Exponential Growth in R-4
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Multiplicity Results for the Biharmonic Equation with Singular Nonlinearity of Super Exponential Growth in R-4

K. Saoudi, M. Kratou and E. Al Zahrani
MATHEMATICAL NOTES, Vol.105(3-4), pp.404-424
01/03/2019
DOI: https://doi.org/10.1134/S0001434619030118

Abstract

Mathematics Physical Sciences Science & Technology
We consider the following elliptic problem of exponential-type growth posed in an open bounded domain with smooth boundary B-1 (0, and h(t) is assumed to be a smooth perturbation of et as t (see (H1)-(H4) below). We employ variational methods in order to show the existence of at least two distinct (positive) solutions to the problem (P) in H2H01(B1(0)).

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