Title of article :
A positive solution branch for nonlinear eigenvalue problems in RN
Author/Authors :
T.V. Anoop، نويسنده , , Jagmohan Tyagi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
In this note, we give sufficient conditions for the existence of a positive solution branch for the problem
View the MathML source−Δu=λa(x)f(u)in RN,
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View the MathML sourceu(x)→0as |x|→∞,
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with sign changing weight aa, where N≥3N≥3 and ff is a smooth nonlinearity with f(0)≠0f(0)≠0.
Keywords :
implicit function theorem , positive solution , elliptic regularity , Strong minimum principle
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
