most citedWeighted biharmonic equations involving continous potentiel under exponential nonlinear growth

12 citations · 17 across the 7 of their papers we have counts for

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7 papers

math.AP2023

Ground state solutions for weighted fourth-order Kirchhoff problem via Nehari method

Brahim Dridi, Rached Jaidane, Rima Chetouane

In this article, we study the following non local problem $$g\big(\int_{B}w(x) |Δu|^{2}\big)Δ(w(x)Δu) =|u|^{q-2}u +\ f(x,u) \quad\mbox{ in }\quad B, \quad u=\frac{\partial u}{\part…

math.AP2023

Nodal solutions for Logarithmic weighted -Laplacian problem with exponential nonlinearities

Rima chetouane, Brahim Dridi, Rached Jaidane

The main purpose of this paper is to study the existence of least energy sign-changing solutions for Logarithmic weighted -Laplacian problem in the unit ball of $\mathbb…

math.AP2022

Ground state solutions for weighted biharmonic problem involving non linear exponential growth

Brahim Dridi, Rached Jaidane

In this article, we study the following problem $$Δ(w(x)Δu) = \ f(x,u) \quad\mbox{ in }\quad B, \quad u=\frac{\partial u}{\partial n}=0 \quad\mbox{ on } \quad\partial B,$$ where $B…

math.AP2022★ 5 cited

Nodal solutions for Logarithmic weighted -Laplacian problem with exponential nonlinearities

Brahim Dridi, Rached Jaidane

In this article, we study the following problem $$-{\rm div} (ω(x)|\nabla u|^{N-2} \nabla u) = λ f(x,u) \quad\mbox{ in }\quad B, \quad u=0 \quad\mbox{ on } \quad\partial B,$$ where…

math.AP2022

Nodal solutions for the weighted biharmonic equation with critical exponential growth

Brahim Dridi, Rachaid Jaidane

In this paper, we deal with the logarithmic weighted fourth order elliptic equation in the unit disk of : $$\displaystyle(P_λ)~~Δ(w(x) Δu) = λ f(x,u) \quad\mbox{ in…

math.AP2022★ 12 cited

Weighted biharmonic equations involving continous potentiel under exponential nonlinear growth

Brahim Dridi, Rached Jaidane

We deal with a weighted biharmonic problem in the unit ball of . The non-linearity is assumed to have critical exponential growth in view of Adam's type inequalitie…