INVESTIGADORES
SILVA Analia Concepcion
artículos
Título:
Existence and multiplicity of solutions for a Dirichlet problem in Fractional Orlicz Sobolev spaces
Autor/es:
PABLO OCHOA; ANALÍA SILVA; SUAREZ MARZIANI MARÍA JOSÉ
Revista:
ANNALI DI MATEMATICA PURA ED APPLICATA
Editorial:
SPRINGER HEIDELBERG
Referencias:
Lugar: HEIDELBERG; Año: 2024 vol. 203 p. 21 - 47
ISSN:
0373-3114
Resumen:
In this paper, we first prove the existence of solutions to Dirichletproblems involving the fractional g-Laplacian operator and lower order termsby appealing to sub- and supersolution methods. Moreover, we also state theexistence of extremal solutions. Afterwards, and under additional assumptionson the lower order structure, we establish by variational techniques the existenceof multiple solutions: one positive, one negative and one with non-constant sign.
