Normalized ground state solutions for a biharmonic equation involving critical exponential growth in R4

Santaria Leuyacc Y.R. · Boundary Value Problems (2025) · DOI: 10.1186/s13661-025-02097-5

Resumen

In this paper, we study the existence of normalized ground state solutions to the following biharmonic equation: (Formula presented.) where a,μ>0, q>4, λ∈R is an unknown parameter that appears as a Lagrange multiplier, and f is a nonlinear function that possesses critical exponential growth motivated by the Adams inequality. To prove the existence of solutions, we construct an augmented functional that possesses a mountain-pass-type geometry. © The Author(s) 2025.

Instituciones: Universidad Nacional Mayor de San Marcos