Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in ℝ4
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In this article we study the existence of at least two positive weak solutions of an nonhomogeneous fourth-order Navier boundary-value problem involving critical exponential growth on a bounded domain in ℝ4, with a parameter λ > 0. We establish upper and lower bounds for λ, which determine multiplicity and non-existence of solutions.
CitationSarkar, A. (2017). Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in ℝ4. Electronic Journal of Differential Equations, 2017(27), pp. 1-18.
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