Qualitative properties of entire radial solutions for a biharmonic equation with supercritical nonlinearity

• Autores: Zongming Guo, Juncheng Wei
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 3957-3964
• Idioma: inglés
• DOI: 10.1090/s0002-9939-10-10374-8
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• Resumen

  • We study some qualitative properties of entire positive radial solutions of the supercritical semilinear biharmonic equation:

    in It is known from a paper by Gazzola and Grunau that there is a critical value of for and that has a singular solution . We show that for or and , any regular positive radial entire solution of intersects with infinitely many times. On the other hand, if and , then for all . Moreover, the solutions are strictly ordered with respect to the initial value .