Lower bounds for Orlicz eigenvalues
In this article we consider the following weighted nonlinear eigenvalue problem for the g-Laplacian {equation presented} with Dirichlet boundary conditions. Here w is a suitable weight and g = G' and h = H' are appropriated Young functions satisfying the so called Δ' condition, which...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/204745 |
| Acceso en línea: | http://hdl.handle.net/11336/204745 |
| Access Level: | acceso abierto |
| Palabra clave: | EIGENVALUE BOUNDS LYAPUNOV INEQUALITY ORLICZ SPACES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this article we consider the following weighted nonlinear eigenvalue problem for the g-Laplacian {equation presented} with Dirichlet boundary conditions. Here w is a suitable weight and g = G' and h = H' are appropriated Young functions satisfying the so called Δ' condition, which includes for instance logarithmic perturbation of powers and different power behaviors near zero and infinity. We prove several properties on its spectrum, being our main goal to obtain lower bounds of eigenvalues in terms of G, H, w and the normalization μ of the corresponding eigenfunctions. We introduce some new strategies to obtain results that generalize several inequalities from the literature of p-Laplacian type eigenvalues. |
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