Work

(N,q)‐Laplacian equations with one‐sided critical exponential growth

Year: 2026

Type: article

Abstract: We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the ‐Laplacian with one‐sided critical exponential growth in a bounded domain . The first solution is obtained as a local minimizer of the associated energy functional; to justify this, we establish that any local minimum in the topology is also a local minimum in the natural topology. This minimization result is proved in a more general setting and may be useful in related problems. The second solution is given by minimax methods.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70116

Authors: Elisandra Gloss, Hector Pereira, Bruno Ribeiro

Institution: Universidade Federal da Paraíba

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,460

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico