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