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Nonexistence of Nontrivial Weak Solutions of Some Nonlinear Inequalities with Gradient Nonlinearity
In this article, we modify the results obtained by Mitidieri and Pohozhaev on sufficient conditions for the nonexistence of nontrivial weak solutions...
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Existence and nonexistence of solutions for the mean curvature equation with weights
In this paper we study existence and nonexistence of positive radial solutions of a Dirichlet problem for the prescribed mean curvature operator with...
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Multiplicity and nonexistence of positive solutions to impulsive Sturm–Liouville boundary value problems
In this paper, we study the existence, nonexistence, and multiplicity of positive solutions to a nonlinear impulsive Sturm–Liouville boundary value...
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Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity
The main objective of this article is to consider a biharmonic problem with Navier boundary conditions. Among others, some criteria for the...
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Nonexistence of solutions for quasilinear hyperbolic inequalities
In this paper, we study the Cauchy problems for quasilinear hyperbolic inequalities with nonlocal singular source term and prove the nonexistence of...
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A Nonexistence Result for the Choquard-Type Hamiltonian System
In this article, we establish a nonexistence result of nontrivial solutions for the Choquard-type Hamiltonian system by the method of scaling spheres.
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Existence and nonexistence of solutions to nonlocal elliptic problems
It is established existence and nonexistence of solutions to nonlocal elliptic problems involving the generalized pseudo-relativistic Hartree...
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Nonexistence Results for a System of Nonlinear Fractional Integrodifferential Equations
We study the nonexistence of (nontrivial) global solutions for a system of nonlinear fractional equations. Each equation involves n fractional...
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Nonexistence of Solutions for a Higher-Order Wave Equation with Delay and Variable-Exponents
In this article, we deal with a higher-order wave equation with delay term and variable exponents. Under suitable conditions, we prove the...
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On Nonexistence of Nonnegative Monotone Solutions for Some Coercive Inequalities in a Half-Space
Using the nonlinear capacity method, we investigate the problem of nonexistence of nonnegative monotone solutions for a quasilinear elliptic...
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Existence and nonexistence of nontrivial solutions for degenerate elliptic equations in a solid torus
In this paper, we study the existence and non existence of nontrivial solutions to the Dirichlet boundary value problem for the following degenerate...
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Existence and Nonexistence of Solutions for the Double Phase Problem
The aim of this paper is to establish the existence and the nonexistence of solutions for double-phase problems depending on two parameters. This...
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Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group
In this paper, we present necessary conditions for the existence of weak solution of the parabolic-type equations and systems on the Heisenberg...
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Existence and nonexistence of entire k-convex radial solutions to Hessian type system
In this paper, a Hessian type system is studied. After converting the existence of an entire solution to the existence of a fixed point of a...