Existence and Concentration of Normalized Solutions for a ϱ‐Laplacian‐Like Problem With Singular Logarithmic Nonlinearity

In this paper, we study a normalized quasilinear elliptic problem in driven by a ‐Laplacian‐ like operator and involving a singular logarithmic nonlinearity. Assuming only and that attains its global minimum at exactly isolated points, we prove the existence of at least positive normalized solutions for prescribed mass sufficiently large and for small enough. Moreover, these solutions concentrate near the global minima of as ; in particular, their maximum points localize around , and uniform exponential decay estimates are obtained. The proof combines a constrained variational approach with concentration‐compactness arguments and Orlicz‐type tools tailored to the logarithmic term, together with a penalization scheme to restore compactness.