Abstract
We consider a logistic-type equation driven by the p-Laplace differential operator with an equidiffusive reaction term. Combining variational methods based on critical point theory together with truncation techniques and Morse theory, we show that when λ > λ1, the problem has extremal solutions of constant sign and when λ > λ2 it has also a nodal (sign-changing) solution. Here λ1 < λ2 are the first two eigenvalues of the negative Dirichlet p-Laplacian. In the semilinear case (i.e. p = 2) we produce two nodal solutions.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
