Existence of bound states for quasilinear elliptic problems involving critical growth and frequency

2023/07/26 by Diego Gómez de Barreda Ferraz, Ferraz, Diego
Mathematics · Computer Science · Engineering · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2307.14462

Abstract

In this paper we study the existence of bound states of the following class of quasilinear problems, \ \beginaligned amp;-ε ^pΔ_pu+V(x)u^p-1=f(u)+u^{p^∗ -1}, ugt;0, in ℝ^N, amp;lim _{|x|→ ∞} u(x) = 0 , \endaligned . where ε>0 is small, 1

Related

• On the existence of sign changing bound state solutions of a quasilinear equation
• Ground state solutions for a semilinear elliptic problem with critical-subcritical growth
• Quasilinear Equations with Neumann Boundary Conditions
• Weak Solutions for Singular Quasilinear Elliptic Systems
• Asymptotic behavior of positive solutions of some quasilinear elliptic problems