Multiple Positive Solutions for Semilinear Elliptic Equations Involving Subcritical Nonlinearities in <em>R</em><sup><em>N</em></sup>
Year: 2014
Author: Somayeh Khademloo, Rahelh Mohsenhi
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 1 : pp. 74–94
Abstract
In this paper, we study how the shape of the graph of a(z) affects on the number of positive solutions of $$-\Delta\upsilon+μ b(z)\upsilon^{p-1}+λ h(z)\upsilon^{q-1}, \qquad\;in\; \mathbb{R}^N.\qquad (0.1)$$ We prove for large enough λ,μ › 0, there exist at least k+1 positive solutions of the this semilinear elliptic equations where 1 ≤ q ‹ 2 ‹ p ‹ 2*|=2N/(N-2) for N ≥ 3.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v27.n1.5
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 1 : pp. 74–94
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Sobolev spaces