Sign-changing saddle point

DOI10.1016/j.jfa.2004.10.002zbMath1174.35343OpenAlexW2012679452MaRDI QIDQ1766545

Wen Ming Zou

Publication date: 8 March 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.10.002

zbMATH Keywords

ResonantLinkingSaddle-point theoremSign-changing

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Sign-changing critical points via sandwich pair theorems ⋮ Nonlinear Schrödinger equations near an infinite well potential ⋮ Existence of sign-changing solutions for the \(p\)-Laplacian equation from linking type theorem ⋮ Asymptotically linear Schrödinger equation with potential vanishing at infinity ⋮ Sign-changing solutions of nonlinear elliptic equations ⋮ Sign-changing solutions for a class of damped vibration problems with impulsive effects ⋮ Sign-changing solutions for some fourth-order nonlinear elliptic problems ⋮ On finding sign-changing solutions ⋮ Existence and multiplicity results for nonlinear Schrödinger-Poisson equation with general potential ⋮ Some recent results in linking theory and applications ⋮ Multiple and sign-changing solutions for a class of semilinear biharmonic equation ⋮ Infinitely many solutions to perturbed elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unique continuation for Schrödinger operators with unbounded potentials
• Critical point theorems for indefinite functionals
• A sign-changing solution for a superlinear Dirichlet problem
• Subharmonic solutions for subquadratic Hamiltonian systems
• On the existence of sign changing solutions for semilinear Dirichlet problems
• Schrödinger type equations with asymptotically linear nonlinearities
• Multiple solutions for a Schrödinger type equation with an asymptotically linear term.
• On the Morse indices of sign changing solutions of nonlinear elliptic problems
• Infinite dimensional Morse theory and multiple solution problems
• On a double resonant problem in \(\mathbb R^N\).
• A note on additional properties of sign changing solutions to superlinear elliptic equations
• Sign changing solutions of nonlinear Schrödinger equations
• SOLUTIONS FOR A RESONANT ELLIPTIC SYSTEM WITH COUPLING IN
• Sign Changing Solutions of Superlinear Schrödinger Equations
• New Linking Theorem and Sign-Changing Solutions
• Linking theorems and applications to semilinear elliptic problems at resonance
• Sign-changing critical points from linking type theorems
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Double resonance problems with respect to the Fucik spectrum
• Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
• On the profile of the changing sign mountain pass solutions for an elliptic problem
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• On a characterization of flow‐invariant sets
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
• Critical point theory on partially ordered Hilbert spaces