Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu, Nonlinear nonhomogeneous logistic equations of superdiffusive type

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DOI: 10.23952/asvao.4.2022.3.03
Volume 4, Issue 3, 1 December 2022, Pages 277-292

Abstract. We consider a nonlinear logistic equation of superdiffusive type driven by a nonhomogeneous differential operator and a Robin boundary condition. We prove a multiplicity result for positive solutions which is global with respect to the parameter $\lambda>0$ (bifurcation-type theorem). We also demonstrate the existence of a minimal positive solution $u_{\lambda}^{\ast}$ and determine the monotonicity and continuity properties of the minimal solution map $\lambda\rightarrow u_{\lambda}^{\ast}.$

How to Cite this Article:
Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu, Nonlinear nonhomogeneous logistic equations of superdiffusive type, Appl. Set-Valued Anal. Optim. 4 (2022), 277-292.