Electron. J. Differential Equations, Vol. 2020 (2020), No. 67, pp. 1-8.

Multiple solutions for mixed boundary value problems with phi-Laplacian operators

Dionicio Pastor Dallos Santos

Using Leray-Schauder degree theory and the method of upper and lower solutions we establish existence and multiplicity of solutions for problems of the form

where $\phi$ is an increasing homeomorphism such that $\phi(0)=0$, and f is a continuous function.

Submitted March 2, 2020. Published June 30, 2020.
Math Subject Classifications: 34B15, 47H10, 47H11.
Key Words: Nonlinear Schrodinger equation; inviscid limit; linear damping; forcing term.

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Dionicio Pastor Dallos Santos
Departmento de Matemática
Facultad de Ciencias Exactas y Naturales
Universidad de Buenos Aires
Ciudad Universitaria, Pabellón I, (1428)
Buenos Aires, Argentina
email: dsantos@dm.uba.ar

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