@Article{JPDE-27-1, author = {Somayeh, Khademloo and Rahelh, Mohsenhi}, title = {Multiple Positive Solutions for Semilinear Elliptic Equations Involving Subcritical Nonlinearities in RN}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n1.5}, url = {https://global-sci.com/article/88294/multiple-positive-solutions-for-semilinear-elliptic-equations-involving-subcritical-nonlinearities-in-emremsupemnemsup} }