Degenerate elliptic equations with singular nonlinearities

DOI10.1007/s00526-008-0184-3zbMath1168.35020OpenAlexW2000121045MaRDI QIDQ1006421

Berardino Sciunzi, Daniele Castorina, Pierpaolo Esposito

Publication date: 24 March 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-008-0184-3

zbMATH Keywords

compactnessdegenerate elliptic equationsquasilinear eigenvalue problemsminimal branchunstable branch

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

Related Items (15)

Quasilinear elliptic equations with singular nonlinearity ⋮ Uniqueness of extremals for some sharp Poincaré-Sobolev constants ⋮ Some results for a class of quasilinear elliptic equations with singular nonlinearity ⋮ Semi-stable radial solutions of \(p\)-Laplace equations in \(\mathbb{R}^N\) ⋮ Regularity and comparison principles for p-Laplace equations with vanishing source term ⋮ Touchdown solutions in general MEMS models ⋮ Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity ⋮ Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations ⋮ On the Morse index of least energy nodal solutions for quasilinear elliptic problems ⋮ Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds ⋮ Liouville results for \(m\)-Laplace equations in half-space and strips with mixed boundary value conditions and finite Morse index ⋮ Spectral theory for linearized \(p\)-Laplace equations ⋮ Regularity of the extremal solution for singular \(p\)-Laplace equations ⋮ Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type ⋮ On the partial differential equations of electrostatic MEMS devices with effects of Casimir force

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