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On Local and Nonlocal Discrete p-Laplacian Equations via Clark’s Theorem
By employing Clark’s theorem we prove the existence of infinitely many homoclinic solutions to the local and nonlocal discrete p-Laplacian equations...
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On the High-Energy Solitary Wave Solutions for a Generalized KP Equation in a Bounded Domain
We mainly deal with the existence of infinitely many high-energy solitary wave solutions for a class of generalized Kadomtsev–Petviashvili equations...
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On multiple solutions to a nonlocal fractional \(p(\cdot )\)-Laplacian problem with concave–convex nonlinearities
The aim of this paper is to examine the existence of at least two distinct nontrivial solutions to a Schrödinger-type problem involving the nonlocal...
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Existence and nonuniqueness of solutions for a class of asymptotically linear nonperiodic Schrödinger equations
In this paper, we consider the existence and nonuniqueness of solutions for the following Schrödinger equations with the nonlinear term being...
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New results on periodic solutions for second order damped vibration systems
The purpose of this paper is to study the multiplicity of periodic solutions for a class of non-autonomous second-order damped vibration systems. New...
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Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems with Asymptotically Quadratic Conditions
A class of second order non-autonomous Hamiltonian systems with asymptotically quadratic conditions is considered in this paper. Using Fountain...
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Ordering Orders and Quotient Rings
In the present paper, we introduce a general notion of quotient ring which is based on inverses along an element. We show that, on the one hand, this...
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Bounded Variation Solution for a Class of Kirchhoff Type Problem Involving the 1-Laplacian Operator
In this work, we study the existence of a nontrivial bounded variation solution to a class of nonlocal elliptic problems of Kirchhoff type involving...
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Existence of Homoclinic Solutions for the Discrete p(k)-Laplacian Operator
In this paper, we investigate the existence of nontrivial solutions for an anisotropic discrete nonlinear problem with a p ( k )-Laplacian operator. The...
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New Homoclinic Orbits for Hamiltonian Systems with Asymptotically Quadratic Growth at Infinity
In this paper, we study the existence and multiplicity of homoclinic solutions for following Hamiltonian systems with asymptotically quadratic...
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Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses
This paper aims to consider the multiplicity of solutions for a kind of boundary value problem to a fractional quasilinear differential model with...
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Ground state solutions for a fractional system involving critical non-linearities
The aim of this paper is to study a fractional system involving critical non-linearities. Using the Mountain Pass Theorem, the existence of ground...
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Ehresmann–Schein–Nambooripad theorems for classes of biunary semigroups
We obtain an ESN theorem for a very general class of biunary semigroups with idempotent-valued domain and range operations, representing them in...