Variable-exponent double-phase problems with parametric logistic reaction

作者：Giuseppe Failla, L. Gasiński, N. Papageorgiou · 发表于：Electronic Journal of Differential Equations · 年份：2026 · DOI：10.58997/ejde.2026.33

We prove the existence and multiplicity of solutions for a variable-exponent double-phase problem with parametric logistic reaction term. Combining variational and truncation methods with homological critical group theory, we prove the existence of at least one or two solutions with respect to a positive parameter, i.e., a bifurcation result. For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2026/33/abstr.html