EXISTENCE AND CONCENTRATION OF POSITIVE GROUND STATE SOLUTIONS FOR A (P, Q)-KIRCHHOFF TYPE EQUATION WITH MOSER-TRUDINGER NONLINEARITY
Abstract
In this work, we concern the existence and concentration of positive ground state solutions for the following $ (p, q) $-Kirchhoff type problem $ \left\{\begin{array}{ll} \quad-(1+a\int_{\mathbb{R}^N}|\nabla u|^pdx)\Delta_p u-(1+b\int_{\mathbb{R}^N}|\nabla u|^qdx)\Delta_q u+V(\varepsilon x)(|u|^{p-2}u+|u|^{q-2}u)\ \\ =f(u) \quad \text{in}\, \mathbb{R}^N, \, u\in W^{1, p}(\mathbb{R}^N)\cap W^{1, q}(\mathbb{R}^N), \quad u>0 \, \, \text{in}\, \, \mathbb{R}^N, \end{array}\right. $ where $ \varepsilon>0 $ is a small parameter, $ a, b>0, 1
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Journal of Applied Analysis & Computation
- Volume
- 16
- Issue
- 4
- Pages
- 1784–1804
- Publication date
- 1 January 2026
- Language
- EN