@article{Papageorgiou2025, 
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Jian Zhang},
title = {Anisotropic Robin problems with indefinite potential},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {11},
pages = {6844-6864},
keywords = {variable exponents, regularity theory, constant sign and nodal solutions, critical point theory, critical groups},
url = {https://www.sciopen.com/article/10.3934/era.2025302},
doi = {10.3934/era.2025302},
abstract = {We considered a nonlinear elliptic boundary value problem driven by the variable (anisotropic)    (  p  ,  q  )-Laplacian with Robin boundary condition and a superlinear reaction which does not satisfy the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation and comparison techniques and critical groups, we showed the existence of five nontrivial smooth solutions all with sign information and ordered.}
}