The asymptotic behavior of constant sign and nodal solutions of (p, q)-Laplacian problems as p goes to 1
In this paper we study the asymptotic behavior of solutions to the (p, q)-equation− Δ pu− Δ
qu= f (x, u) in Ω, u= 0 on∂ Ω, as p→ 1+, where N≥ 2, 1< p< q< 1∗≔ N/(N− 1) and f is a …
qu= f (x, u) in Ω, u= 0 on∂ Ω, as p→ 1+, where N≥ 2, 1< p< q< 1∗≔ N/(N− 1) and f is a …
A 1-Laplacian equation with critical and discontinuous nonlinearities
MT de Oliveira Pimenta, JR dos Santos Júnior… - Journal of Differential …, 2024 - Elsevier
In this work, a quasilinear elliptic problem involving the 1-Laplacian operator and a
discontinuous nonlinearity with a critical Sobolev growth is studied. Through an argument …
discontinuous nonlinearity with a critical Sobolev growth is studied. Through an argument …
On Some Weighted 1-Laplacian Problem on with Singular Behavior at the Origin
S Aouaoui, M Dhifet - Bulletin of the Malaysian Mathematical Sciences …, 2024 - Springer
In this work, we prove the existence of a nontrivial solution to a quasilinear elliptic problem
defined on the whole Euclidean space RN, N≥ 2, and involving a weighted 1-Laplacian …
defined on the whole Euclidean space RN, N≥ 2, and involving a weighted 1-Laplacian …