Adams' type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in \( \mathbb{R}^4 \)

DOI10.1007/s10231-018-00821-wzbMath1416.35014OpenAlexW2906873528MaRDI QIDQ2315234

Sami Aouaoui, Francisco S. B. Albuquerque

Publication date: 1 August 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-018-00821-w

zbMATH Keywords

exponential critical growthnonhomogeneous quasilinear elliptic equationsingular or decaying weights

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Quasilinear equation with critical exponential growth in the zero mass case ⋮ On a weighted Adams type inequality and an application to a biharmonic equation ⋮ Schrödinger equations in \(\mathbb{R}^4\) involving the biharmonic operator with critical exponential growth ⋮ On a critical exponential \(p \& N\) equation type: existence and concentration of changing solutions

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