Study of a class of generalized Schr\"{o}dinger equations
Andrelino V. Santos, Jo\~ao R. Santos J\'unior, Antonio Su\'arez
TL;DR
This paper investigates a class of generalized Schrödinger equations in bounded domains, providing a comprehensive analysis of solutions based on parameter values using monotony, bifurcation, and variational methods.
Contribution
It offers a complete overview of solutions for generalized Schrödinger equations depending on parameters, combining multiple mathematical techniques.
Findings
Characterization of solution sets based on parameters
Application of bifurcation theory to Schrödinger problems
Use of variational methods to analyze solutions
Abstract
A class of generalized Schr\"{o}dinger problems in bounded domain is studied. A complete overview of the set of solutions is provided, depending on the values assumed by parameters involved in the problem. In order to obtain the results, we combine monotony, bifurcation and variational methods.
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