Positive Solutions for Slightly Subcritical Elliptic Problems Via Orlicz Spaces

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Cuesta, Mabel and Pardo San Gil, Rosa (2022) Positive Solutions for Slightly Subcritical Elliptic Problems Via Orlicz Spaces. Milan Journal of Mathematics . ISSN 1424-9286

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Abstract

This paper concerns semilinear elliptic equations involving sign-changing weight function and a nonlinearity of subcritical nature understood in a generalized sense. Using an Orlicz–Sobolev space setting, we consider superlinear nonlinearities which do not have a polynomial growth, and state sufficient conditions guaranteeing the Palais–Smale condition. We study the existence of a bifurcated branch of classical positive solutions, containing a turning point, and providing multiplicity of solutions.


Item Type:Article
Additional Information:

CRUE-CSIC (Acuerdos Transformativos 2022)

Uncontrolled Keywords:Positive solutions, Subcritical nonlinearity, Changing sign weight.
Subjects:Sciences > Mathematics > Topology
ID Code:72921
Deposited On:20 Jun 2022 13:51
Last Modified:27 Jun 2022 09:30

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