most citedWeighted biharmonic equations involving continous potentiel under exponential nonlinear growth

12 citations · 17 across the 9 of their papers we have counts for

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9 papers

math.AP2023

Existence solutions for a weighted equation of p-biharmonic type in the unit ball of with critical exponential growth

Rached Jaidane

We study a weighted biharmonic equation involving a positive continuous potential in . The non-linearity is assumed to have critical exponential growth…

math.AP2023

A Logarithmic Weighted Adams-type inequality in the whole of with an application

Rached Jaidane

In this paper, we will establish a logarithmic weighted Adams inequality in a logarithmic weighted second order Sobolev space in the whole set of . Using this resul…

math.AP2023

Existence of sign-changing solutions for a logarithmic weighted Kirchhoff problem in the whole of with exponential growth non-linearity

Rached Jaidane

In this work, we establish the existence of solutions that change sign at low energy for a non-local weighted Kirchhoff problem in the set . The non-linearity…

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★ 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…

math.AP2022

Fourth order weighted elliptic problem under exponential nonlinear growth

Brahim Dridi, Rached Jaidane

We deal with nonlinear weighted biharmonic problem in the unit ball of . The weight is of logarithm type. The nonlinearity is critical in view of Adam's inequalitie…