Composition operators from Sobolev spaces into Lebesgue spaces

  • Wadie Aziz Universidad de los Andes
Palabras clave: Sobolev embeddings, composition operators, eigenvalues, p–Laplacian, Multiplicity of solutions, Inmersi´on en espacio de Sobolev, operadores de composici´on, autovalores, p–laplaciano lineales asint´oticamente singular, multiplicidad de soluciones.



In this paper, we shall obtain a compactness of weighted Sobolev embeddings and use it to get a composition operators from Sobolev spaces into Lebesgue spaces. Applying these re- sults we shall study the multiplicity for singular asymptotically linear p–Laplacian problems.


En este art´ıculo, obtenemos una compacidad de inmersiones de Sobolev ponderadas y lo usamos para tener operadores de composici´on del espacio de Sobolev en espacios de Lebes- gue. Aplicando estos resultados estudiaremos la multiplicidad para problemas p–laplacianos.



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