Topics in Critical Point Theory

DOI10.1017/CBO9781139342469zbMath1273.58003OpenAlexW648819134MaRDI QIDQ3145117

Schechter, Martin, Perera, Kanishka

Publication date: 14 December 2012

Full work available at URL: https://doi.org/10.1017/cbo9781139342469

zbMATH Keywords

Morse theorycritical point theorylinkingsemilinear ellipticsandwich pairsFučik's spectrum

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Spectrum, resolvent (47A10) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (12)

On a Robin problem with \(p\)-Laplacian and reaction bounded only from above ⋮ Higher critical points in an elliptic free boundary problem ⋮ New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities ⋮ Nonlocal critical growth elliptic problems with jumping nonlinearities ⋮ Subharmonic solutions and minimal periodic solutions of first-order Hamiltonian systems with anisotropic growth ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\) ⋮ Multiple nontrivial solutions of a semilinear elliptic problem with asymmetric nonlinearity ⋮ Multiple solutions for a BVP on \((0,+\infty)\) via Morse theory and \(H^1_{0,p}(\mathbb{R}^+)\) versus \(C^1_{p}(\mathbb{R}^+)\) local minimizers ⋮ Unnamed Item ⋮ Pairs of nontrivial solutions to concave-linear-convex type elliptic problems

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