![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
Open AccessExistence and multiplicity of solutions for fractional \(p_{1}(x,\cdot )\& p_{2}(x,\cdot )\) -Laplacian Schrödinger-type equations with Robin boundary conditions
In this paper, we study fractional p 1 ( ...
-
Article
Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term
In the present article, we deal with a class of Kirchhoff-type equations involving a logarithmic nonlinearity and a convection term. Due to the lack of a variational structure, the well-known variational metho...
-
Article
Open AccessThe existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent
The paper aims to consider a class of p-Laplacian elliptic systems with a double Sobolev critical exponent. We obtain the existence result of the above problem under the Neumann boundary for some suitable range o...
-
Article
Open AccessThe Pohozaev-type inequalities and their applications for a kind of elliptic equation (system)
In this paper, we first derive a new kind of Pohozaev-type inequalities for p-Laplacian equations in a more general class of non-star-shaped domains, and then we take two examples and their graphs to explain t...
-
Article
Open AccessInfinitely many high energy solutions for fractional Schrödinger equations with magnetic field
In this paper we investigate the existence of infinitely many solutions for nonlocal Schrödinger equation involving a magnetic potential (−△)Asu+V(x)u=f(x,|u|)u,in RN,$$ (-\triangle )_{A}^{s}u+V(x)u=f\bigl(x, \ve...
-
Article
Open AccessExistence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity
In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence result...
-
Article
Existence and Multiplicity of Solutions for Nonhomogeneous Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations in \(\mathbb {R}^{N}\)
In this article, we study the following nonhomogeneous Schrödinger–Kirchhoff-type equation $$\begin{aligned} \left\{ \begin{array}{cl}...
-
Article
Open AccessInfinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity
The paper investigates the following fractional Schrödinger equation: ...
-
Article
Open AccessSuperlinear Kirchhoff-type problems of the fractional p-Laplacian without the (AR) condition
In this paper, we study the following superlinear p-Kirchhoff-type equation: ...
-
Article
Open AccessA variational inequality of Kirchhoff-type in \(\mathbb{R}^{N}\)
In this paper, we investigate the existence of nontrivial radial solutions for a kind of variational inequalities in ...
-
Article
Open AccessNew Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions
In this paper, we introduce the h-convex concept for interval-valued functions. By using the h-convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequ...
-
Article
Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method
In this paper we study the existence of nontrivial solutions of the nonlocal elliptic problem $$\begin{aligned} \left\{ \begin{array}{...
-
Article
Infinitely Many Solutions for Fractional p-Kirchhoff Equations
In this paper we consider the existence of infinitely many weak solutions for fractional Schrödinger–Kirchhoff problems. Precisely speaking, we investigate
-
Article
Open AccessSome results on the fractional order Sturm-Liouville problems
In this work, we introduce some new results on the Lyapunov inequality, uniqueness and multiplicity results of nontrivial solutions of the nonlinear fractional Sturm-Liouville problems
-
Article
Open AccessPohozaev-type inequalities and their applications for elliptic equations
In this paper we derive the Pohozaev-type inequalities for p-Laplacian equations and weighted quasi-linear equations and then prove some non-existence results for the positive solutions of these equations in a...
-
Article
Open AccessExistence of multiple solutions for fractional p-Kirchhoff equations with concave-convex nonlinearities
In this paper, we investigate the existence of multiple solutions for Kirchhoff-type equations involving nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions as follows: ...
-
Article
Open AccessInfinitely many solutions for a class of fourth-order partially sublinear elliptic problem
In this paper, we study the existence of infinitely many solutions for a class of fourth-order partially sublinear elliptic problem with Navier boundary value condition by using an extension of Clark’s theorem.
-
Article
Open AccessErratum to: Existence and multiplicity of positive bound states for Schrödinger equations
-
Article
Open AccessPeriodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials
This paper is concerned with nonautonomous second-order Hamiltonian systems with nondifferentiable potentials. By using the nonsmooth critical point theory for locally Lipschitz functionals, we obtain some new...
-
Article
Open AccessExistence of periodic solutions for a prescribed mean curvature Liénard p-Laplacian equation with two delays
This paper is concerned with the prescribed mean curvature Liénard type p-Laplacian equation with two arguments. By employing Mawhin’s coincidence degree theorem and the analysis techniques, some new existence re...