Positive solutions for Robin problems with general potential and logistic reaction
We consider a semilinear Robin problem driven by the negative Laplacian plus an indefinite and unbounded potential and a superdiffusive lotistic-type reaction. We prove bifurcation results describing the dependence of the set of positive solutions on the parameter of the problem. We also establish the existence of extreme positive solutions and determine their properties.
robin problem, indefinite and unbounded potential, semilinear equation, positive solution, superdiffusive reaction, bifurcation-type theorem
Hu, Shouchuan, and Nikolaos S. Papageorgiou. "Positive solutions for Robin problems with general potential and logistic reaction." Communications on Pure & Applied Analysis 15, no. 6 (2016): 2489.
Communications on Pure & Applied Analysis