Multiple solutions for a class of \(N\)-Laplacian equations with critical growth and indefinite weight

DOI10.1155/2014/942092zbMath1474.35338OpenAlexW2040937087WikidataQ59043007 ScholiaQ59043007MaRDI QIDQ1725333

Ziyan Yao, Guoqing Zhang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/942092

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
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• Local behavior of solutions of quasi-linear equations
• A singular Moser-Trudinger embedding and its applications
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• An optimization problem for the first weighted eigenvalue problem plus a potential
• A Picone's identity for the p-Laplacian and applications
• A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$

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