VARIABLE-EXPONENT DOUBLE-PHASE PROBLEMS WITH PARAMETRIC LOGISTIC REACTION

doi:10.58997/ejde.2026.33

VARIABLE-EXPONENT DOUBLE-PHASE PROBLEMS WITH PARAMETRIC LOGISTIC REACTION

2026-05-04

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Papageorgiou, Nikolaos S.

DOI：10.58997/ejde.2026.33

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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.

Keywords:

Double phase problem

variable exponent

logistic equation.

VARIABLE-EXPONENT DOUBLE-PHASE PROBLEMS WITH PARAMETRIC LOGISTIC REACTION

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