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EXISTENCE OF POSITIVE EVANESCENT SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS

  • OCTAVIAN G. MUSTAFA (a1)
Abstract
Abstract

We establish that the elliptic equation defined in an exterior domain of ℝn, n≥3, has a positive solution which decays to 0 as under quite general assumptions upon f and g.

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[2]A. Constantin , ‘Positive solutions of quasilinear elliptic equations’, J. Math. Anal. Appl. 213 (1997), 334339.

[4]M. Ehrnström , ‘Positive solutions for second-order nonlinear differential equations’, Nonlinear Anal. TMA 64 (2006), 16081620.

[5]M. Ehrnström and O. G. Mustafa , ‘On positive solutions of a class of nonlinear elliptic equations’, Nonlinear Anal. TMA 67 (2007), 11471154.

[7]D. Gilbarg and N. S. Trudinger , Elliptic Partial Differential Equations of Second Order (Springer, Berlin, 2001).

[8]V. A. Staikos and C. G. Philos , ‘Non-oscillatory phenomena and damped oscillations’, Nonlinear Anal. TMA 2 (1978), 197210.

[9]Z. Yin , ‘Monotone positive solutions of second-order nonlinear differential equations’, Nonlinear Anal. TMA 54 (2003), 391403.

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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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