Non local weighted fourth order equation in dimension \(4\) with non-linear exponential growth

DOI10.11650/tjm/230202zbMath1520.35051OpenAlexW4323341779MaRDI QIDQ6110576

Rached Jaidane, Abir Amor Ben Ali

Publication date: 2 August 2023

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm/230202

zbMATH Keywords

mountain pass methodexistence of a positive ground statenonlinear fourth order elliptic equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ground state solution for a Kirchhoff problem with exponential critical growth
• New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems
• The concentration-compactness principle in the calculus of variations. The limit case. I
• A sharp inequality of J. Moser for higher order derivatives
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth
• Existence of solutions for a nonhomogeneous Kirchhoff-Schrödinger type equation in \(\mathbb{R}^2\) involving unbounded or decaying potentials
• Concentration-compactness principle for Trudinger-Moser inequalities with logarithmic weights and their applications
• \(N\)-Laplacian problems with critical double exponential nonlinearities
• Dual variational methods in critical point theory and applications
• Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)
• Elliptic equations in dimension 2 with double exponential nonlinearities
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• On a class of nonlocal nonlinear elliptic problems
• Statistical mechanics of classical particles with logarithmic interactions
• Some remarks on non local elliptic and parabolic problems
• Sharp Adams-type inequalities in ℝⁿ
• Adams’ inequality with logarithmic weights in ℝ⁴
• Non-autonomous weighted elliptic equations with double exponential growth

This page was built for publication: Non local weighted fourth order equation in dimension \(4\) with non-linear exponential growth