On Coron's problem for the \(p\)-Laplacian

DOI10.1016/j.jmaa.2014.07.018zbMath1298.35095arXiv1402.3147OpenAlexW2143443114MaRDI QIDQ401366

Carlo Mercuri, Berardino Sciunzi, Marco Squassina

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1402.3147

zbMATH Keywords

critical exponentquasi-linear equationsCoron's problem

Mathematics Subject Classification ID

Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

Multiplicity results for critical \(p\)-Laplacian problems ⋮ Global compactness results for nonlocal problems ⋮ Existence of ground states to the double-type nonlinear \(p\)-Laplace problem involving Sobolev critical Exponent ⋮ Entire nodal solutions to the pure critical exponent problem for the \(p\)-Laplacian ⋮ Multiple positive solutions to critical p-Laplacian equations with vanishing potential ⋮ Nondegeneracy of the bubble for the critical p-Laplace equation ⋮ A Regularity Result for the p-Laplacian Near Uniform Ellipticity ⋮ Coron problem for nonlocal equations involving Choquard nonlinearity ⋮ A Liouville theorem for the \(p\)-Laplacian and related questions ⋮ Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth ⋮ Multiple solutions to a pure supercritical problem for the \(p\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\)
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
• Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains
• A global compactness result for the \(p\)-Laplacian involving critical nonlinearities
• Local and global properties of solutions of quasilinear elliptic equations
• Best constant in Sobolev inequality
• On the pure critical exponent problem for the \(p\)-Laplacian
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A Note on an Equation with Critical Exponent
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

This page was built for publication: On Coron's problem for the \(p\)-Laplacian