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An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions
It is quite common that a nonlinear partial differential equation (PDE) admits multiple distinct solutions and each solution may carry a unique...
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Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates
In this study, multiple higher-order pole solutions of spinor Bose–Einstein condensates are explored by means of the inverse scattering transform,...
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Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains
In this paper we prove the existence of multiple positive solutions for a quasilinear elliptic problem with unbalanced growth in expanding domains by...
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An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with Polynomial Nonlinearities
This paper presents an innovative approach, the Adaptive Orthogonal Basis Method, tailored for computing multiple solutions to differential equations...
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Continuous Solutions of Difference-Functional Equations with Multiple Deviations of the Argument
We establish conditions for the existence of continuous solutions of one class of systems of linear difference-functional equations with multiple...
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Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian
The goal of the paper is to investigate a Kirchhoff-type elliptic problem driven by a generalized nonlocal fractional p -Laplacian whose nonlocal term...
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Multiple periodic solutions of a second-order partial difference equation involving p-Laplacian
In this paper, we investigate a second-order partial difference equation involving p-Laplacian. We establish series of criteria to study multiple...
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Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs
The local minimax method (LMM) proposed by Li and Zhou (2001) and Li and Zhou (2002) is an efficient method to solve nonlinear elliptic partial...
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Multiple Positive Solutions to a Class of Modified Nonlinear Schrödinger Equation in a High Dimension
The existence and multiplicity of positive solutions for equation (1.1) with the new critical exponent 4 < p < 2·2* shall be investigated in a high...
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Multiple Families of Bounded Solutions Near Perturbed Homoclinic Orbits, Application to a Nonlinear Wave Equation
We consider a planar functional differential equation with a perturbed homoclinic orbit. We apply the exponential dichotomy of the variational...
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Multiple Solutions for a Class of Biharmonic Nonlocal Elliptic Systems
We prove the existence of three distinct solutions for a biharmonic nonlocal elliptic system with singular terms under the Navier boundary...
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Trustworthy Analytical Technique for Generating Multiple Solutions to Fractional Boundary Value Problems
Using the Laplace residual power series approach, this study establishes solutions to fractional differential equations with boundary conditions. The...
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Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
This paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the...
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Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms
We investigate the multiplicity results of positive solutions for a Kirchhoff-type problems with supercritical and critical nonlinear terms in a...
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Multiple Nontrivial Solutions for Superlinear Double Phase Problems Via Morse Theory
The aim of this paper is the study of a double phase problems involving superlinear nonlinearities with a growth that need not satisfy the...
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Configuration spaces and multiple positive solutions to a singularly perturbed elliptic system
We consider a weakly coupled singularly perturbed variational elliptic system in a bounded smooth domain with Dirichlet boundary conditions. We show...
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Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow...