Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials

DOI10.1142/S0219530521500020zbMath1484.35242arXiv1912.07537MaRDI QIDQ5163052

Michela Guida, Marino Badiale, Sergio Rolando

Publication date: 8 November 2021

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07537

zbMATH Keywords

existencevariational methodsquasilinear elliptic PDEs

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials ⋮ Quasilinear equation with critical exponential growth in the zero mass case ⋮ Radial quasilinear elliptic problems with singular or vanishing potentials

Cites Work

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• Weighted Sobolev embedding with unbounded and decaying radial potentials
• Compactness and existence results in weighted Sobolev spaces of radial functions. II: Existence
• Sobolev type embeddings and an inhomogeneous quasilinear elliptic equation on \(\mathbb R^N\) with singular weights
• Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on $\mathbb{R}^{N}$

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