Morse index and uniqueness for positive solutions of radial $p$-Laplace equations
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Publication:4813846
DOI10.1090/S0002-9947-04-03628-1zbMath1062.58015OpenAlexW1531701796MaRDI QIDQ4813846
Amandine Aftalion, Filomena Pacella
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03628-1
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (12)
Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of \(m\)-Laplace equations ⋮ Amann-Zehnder type results for \(p\)-Laplace problems ⋮ Radial solutions for p‐Laplacian Neumann problems with gradient dependence ⋮ Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations ⋮ 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 local Morse theory for \(p\)-area functionals, \(p > 2\) ⋮ On the pure critical exponent problem for the \(p\)-Laplacian ⋮ Uniqueness of solutions to singular \(p\)-Laplacian equations with subcritical nonlinearity ⋮ Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations ⋮ On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators ⋮ On the principle of pseudo-linearized stability: Applications to some delayed nonlinear parabolic equations
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