Multiple critical points for a class of nonlinear functionals
From MaRDI portal
Publication:642106
DOI10.1007/s10231-010-0160-3zbMath1230.58014arXiv1004.3219OpenAlexW2097337212MaRDI QIDQ642106
Alessio Pomponio, Antonio Azzollini, Pietro D'Avenia
Publication date: 25 October 2011
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.3219
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items
Schrödinger–Poisson systems with a general critical nonlinearity ⋮ Existence of multiple positive solutions to nonhomogeneous Schrödinger-Poisson system ⋮ A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity ⋮ Existence of solution for a class of activator–inhibitor systems ⋮ A new result on multiplicity of nontrivial solutions for the nonhomogenous Schrödinger-Kirchhoff type problem in \(\mathbb R^N\) ⋮ An autonomous Kirchhoff-type equation with general nonlinearity in \(\mathbb{R}^N\) ⋮ Solutions for a Schrödinger-Kirchhoff equation with indefinite potentials ⋮ Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness ⋮ Multiple solutions for a Kirchhoff-type equation with general nonlinearity ⋮ On a \(K\)-component elliptic system with the Sobolev critical exponent in high dimensions: the repulsive case ⋮ Positive solutions of Kirchhoff-hénon type elliptic equations with critical Sobolev growth ⋮ Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations ⋮ A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity ⋮ Existence and concentration result for the Kirchhoff type equations with general nonlinearities ⋮ Least energy solutions of the Schrödinger-Kirchhoff equation with linearly bounded nonlinearities ⋮ Multiplicity of normalized solutions for a class of nonlinear Schrödinger-Poisson-Slater equations ⋮ Combined effects of concave and convex nonlinearities for Kirchhoff type equations with steep potential Well and \(1<p<2<q<4\) ⋮ Positive solutions for Kirchhoff-Schrödinger-Poisson systems with general nonlinearity ⋮ Existence and multiplicity of solutions for the Kirchhoff equations with asymptotically linear nonlinearities ⋮ Multiple solutions of the Kirchhoff-type problem in RN ⋮ Some remarks on spectrum of nonlinear continuous operators ⋮ On the Schrödinger-Maxwell system involving sublinear terms ⋮ Born-Infeld problem with general nonlinearity ⋮ The ground states for Hartree–Fock systems with a general nonlinearity ⋮ An asymptotically linear Schrödinger-Poisson system on \(\mathbb R^3\) ⋮ A variational approach for standing waves of Fitzhugh-Nagumo type systems ⋮ Positive solutions for a nonhomogeneous Kirchhoff equation with the asymptotical nonlinearity in \(R^3\) ⋮ Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials ⋮ Existence of solution for an asymptotically linear Schrödinger-Kirchhoff equation ⋮ Infinitely many solutions for super-quadratic Kirchhoff-type equations with sign-changing potential ⋮ Multiple solutions for Kirchhoff-type equations in $\mathbb {R}^N$RN ⋮ Multiple solutions for a Kirchhoff equation with critical growth ⋮ Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent ⋮ Nonlinear scalar field equations with general nonlinearity ⋮ Existence of positive solutions for a class of Kirchhoff type equations in \(\mathbb{R}^3\) ⋮ Zero mass case for a nonlinear elliptic equation in striplike domains ⋮ Nonlinear scalar field equations with \(L^2\) constraint: mountain pass and symmetric mountain pass approaches ⋮ Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^N\) with positive and zero mass ⋮ Existence of groundstates for a class of nonlinear Choquard equations ⋮ Standing waves for 4-superlinear Schrödinger-Kirchhoff equations ⋮ Multiplicity of nontrivial solutions for system of nonhomogenous Kirchhoff-type equations inRN ⋮ On the indefinite Kirchhoff type equations with local sublinearity and linearity ⋮ Multiple normalized solutions for quasi-linear Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations
- An existence and stability result for standing waves of nonlinear Schrödinger equations
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On the existence of solutions for the Schrödinger-Poisson equations
- On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
- On an elliptic Kirchhoff-type problem depending on two parameters
- Bound states for a stationary nonlinear Schrödinger-Poisson system with sign-changing potential in \(\mathbb R^3\)
- Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
- \(L^p\) regularity theory for linear elliptic systems
- Remarks on an elliptic equation of Kirchhoff type
- On the evolution of harmonic mappings of Riemannian surfaces
- Existence of solitary waves in higher dimensions
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Periodic solutions of nonlinear wave equations with general nonlinearities
- Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
- Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- Infinitely many positive solutions for Kirchhoff-type problems
- Existence of solutions with prescribed norm for semilinear elliptic equations
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
- A note on the elliptic Kirchhoff equation in ℝNperturbed by a local nonlinearity
- Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation