Abstract
In this paper, we show that the beautiful theory developed by M. Schechter and K. Tintarev in [9] can be applied to the eigenvalue problem $$ \begin{cases} -\Delta u = \lambda f(u) & {\rm in} \,\,\, \Omega \\ u = 0 & {\rm on\,\, \partial} \Omega \end{cases} $$ when $$ \limsup_{|\xi|\to +\infty}{{\int_0^{\xi}f(t)dt}\over {\xi^2}}\lt +\infty$$ and, for each $\lambda$ in a suitable interval, the problem has a unique positive solution.
Citation
Biagio Ricceri. "ON A THEORY BY SCHECHTER AND TINTAREV." Taiwanese J. Math. 12 (6) 1303 - 1312, 2008. https://doi.org/10.11650/twjm/1500405027
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