Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
From MaRDI portal
Publication:2126522
DOI10.1186/s13661-018-1114-8zbMath1499.35690OpenAlexW2907043871MaRDI QIDQ2126522
Yang Wang, Yujun Cui, Yansheng Liu
Publication date: 19 April 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-018-1114-8
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)
Related Items (17)
Monotonicity and symmetry of solutions to fractional Laplacian in strips ⋮ Infinitely many sign-changing solutions for nonlinear fractional Kirchhoff equations ⋮ Two nontrivial solutions for a nonhomogeneous fractional Schrödinger-Poisson equation in \(\mathbb{R}^3\) ⋮ Approximate iterative sequences for positive solutions of a Hadamard type fractional differential system involving Hadamard type fractional derivatives ⋮ Multiple solutions for a class of boundary value problems of fractional differential equations with generalized Caputo derivatives ⋮ Nonlinear \(n\)-order \(m\)-point semipositive boundary value problems and applications ⋮ Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition ⋮ Existence results for a fractional Schrödinger–Poisson equation with concave–convex nonlinearity in ℝ3 ⋮ Infinitely many high energy solutions for the generalized Chern-Simons-Schrödinger system ⋮ Nontrivial solutions for the \(2n^{\text{th}}\) Lidstone boundary value problem ⋮ Existence of positive solutions for second-order third-point semipositive BVP ⋮ Existence of solutions for a periodic boundary value problem with impulse and fractional derivative dependence ⋮ Multiple positive solutions for a class of boundary value problem of fractional \((p, q)\)-difference equations under \((p, q)\)-integral boundary conditions ⋮ Controllability of nonlinear fractional evolution systems in Banach spaces: a survey ⋮ EXISTENCE OF POSITIVE SOLUTIONS TO A BOUNDARY VALUE PROBLEM FOR A DELAYED SINGULAR HIGH ORDER FRACTIONAL DIFFERENTIAL EQUATION WITH SIGN-CHANGING NONLINEARITY ⋮ Existence and convergence results of meromorphic solutions to the equilibrium system with angular velocity ⋮ Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of multiple solutions of Kirchhoff type equation with sign-changing potential
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Asymptotically linear Schrödinger equation with potential vanishing at infinity
- Fractional quantum mechanics and Lévy path integrals
- A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations
- Nehari-type ground state solutions for asymptotically periodic fractional Kirchhoff-type problems in \(\mathbb{R}^{N}\)
- Ground state of Kirchhoff type fractional Schrödinger equations with critical growth
- Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
- Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions
- A critical Kirchhoff type problem involving a nonlocal operator
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- From the long jump random walk to the fractional Laplacian
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- On the Well-Posedness of the Kirchhoff String
- $\Gamma$-Limit of a Phase-Field Model of Dislocations
- Ground state solutions of asymptotically linear fractional Schrödinger equations
- Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
This page was built for publication: Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
