On some polyharmonic elliptic equation with discontinuous and increasing nonlinearities

DOI10.1016/j.aml.2017.06.011zbMath1381.35034OpenAlexW2733964984MaRDI QIDQ1680769

Sami Aouaoui

Publication date: 16 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.06.011

zbMATH Keywords

existence of solutionspolyharmonic equation

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30)

Related Items (2)

Existence result for some elliptic quasilinear equation involving the \(N\)-Laplacian in \( \mathbb {R}^N \) with a large class of nonlinearities ⋮ On some elliptic equation involving the \(p(x)\)-Laplacian in \(\mathbb{R}^N\) with a possibly discontinuous nonlinearities

Cites Work

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• On a class of nonhomogeneous fractional quasilinear equations in \(\mathbb R^n\) with exponential growth
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• A method to solve discontinuous boundary value problems.
• On a nonlocal elliptic problem involving critical growth
• On a class of quasilinear elliptic problems involving Trudinger-Moser nonlinearities
• Elliptic problems with lack of compactness via a new fixed point theorem
• Quasilinear elliptic problems with critical exponents and discontinuous nonlinearities
• Existence of solutions to equations ofN-Laplacian type with Trudinger–Moser nonlinearities

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