The p-Laplace Equation in Domains with Multiple Crack Section via Pencil Operators

DOI10.1515/ans-2015-0105zbMath1312.35117arXiv1310.0812OpenAlexW2963049885MaRDI QIDQ5178517

Pablo Álvarez-Caudevilla, Victor A. Galaktionov

Publication date: 16 March 2015

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0812

zbMATH Keywords

eigenfunctionsnonlinear eigenvalue problembranchingnodal sets\(p\)-Laplace equations

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Analyticity in context of PDEs (35A20) Bifurcations in context of PDEs (35B32) Higher-order elliptic equations (35J30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Blow-up scaling and global behaviour of solutions of the bi-Laplace equation via pencil operators

Cites Work

• On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
• On some mathematical principles in the linear theory of damped oscillations of continua II
• On the homogeneity of global minimizers for the Mumford-Shah functional when \(K\) is a smooth cone
• Optimal approximations by piecewise smooth functions and associated variational problems
• Evolution completeness of separable solutions of non-linear diffusion equations in bounded domains
• A non-linear elliptic problem with a complex spectrum of solutions
• Stability and spectra of blow–up in problems with quasi–linear gradient diffusivity