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Multiple solutions for the fractional p-Laplacian with jum** reactions
We study a nonlinear elliptic equation driven by the degenerate fractional p -Laplacian, with Dirichlet-type condition and a jum** reaction, i.e.,
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Multiple Positive Solutions for a p(x)-Kirchhoff Problem with Singularity and Critical Exponent
This paper is concerned with the existence and multiplicity of positive solutions for a p ( x )-Kirchhoff problem with singularity and critical...
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Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents
In this paper we study the existence of nonnegative radial ground state solutions and nontrivial radial solutions of a Schrödinger–Poisson system...
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Existence and multiplicity of positive solutions to sub-elliptic systems with multiple critical exponents on Carnot groups
In this work, we study the Nehari manifold and its application to the following sub-elliptic system involving the multiple critical Sobolev...
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Uniqueness and Structure of Solutions
This Chapter is devoted to the study of uniqueness and structure of solutions to the anisotropic least gradient problem. As we saw in Chaps. 1 and... -
Infinitely Many Solutions for a Nonlinear Elliptic PDE with Multiple Hardy–Sobolev Critical Exponents
In this paper, by an approximating argument, we obtain two disjoint and infinite sets of solutions for the following elliptic equation with multiple...
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Multiple positive solutions for higher-order fractional integral boundary value problems with singularity on space variable
In this article, based on further investigation of the properties of the Green function, together with a fixed point theorem due to Avery-Peterson,...
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Resonance Soliton, Breather and Interaction Solutions of the Modified Kadomtsev–Petviashvili-II Equation
In this paper, we investigate the modified Kadomtsev–Petviashvili-II (mKP-II) equation, which has important applications in fluid dynamics, plasma...
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Continuation of Solutions
Studies in detail the continuation of solutions and their dependence on initial conditions, including the important role of the equation of... -
Multiple solutions for superlinear double phase Neumann problems
We study a double phase Neumann problem with a superlinear reaction which need not satisfy the Ambrosetti-Rabinowitz condition. Using the Nehari...
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Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions
Under the acoustic boundary conditions, the initial boundary value problem of a wave equation with multiple nonlinear source terms is considered....
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Solutions to Selected Exercises
This chapter provides solutions to selected exercises. -
Iterative MILP algorithm to find alternate solutions in linear programming models
We address in this paper linear programming (LP) models in which it is desired to find a finite set of alternate optima. An LP may have multiple...
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Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems
We generalize the idea of relaxation time step** methods in order to preserve multiple nonlinear conserved quantities of a dynamical system by...