Abstract

The paper is concerned with existence questions for positive solutions (ground states) of boundary value problems for semilinear elliptic partial differential equations. Global continuation and bifurcation results are used to obtain the existence of unbounded solution continua whenever the nonlinear terms depend upon a real parameter. Results are presented for various classes of nonlinear terms which are classified depending on their asymptotic growth, such as linear, superlinear, subcritical, and supercritical growth. Results describing the influence of the geometry, topology and dimension of the domain on the solution structure are also discussed.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.