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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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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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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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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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Nonexistence results for elliptic problems with supercritical growth in thin planar domains
We deal with a class of nonlinear elliptic Dirichlet problems with terms having supercritical growth from the viewpoint of the Sobolev embedding. We...
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Nonexistence of the Quasi-harmonic Spheres and Harmonic Spheres into Certain Manifold
We mainly study the nonexistence of quasi-harmonic spheres and harmonic spheres into spheres of any dimension which omits a neighbourhood of totally...
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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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Existence and nonexistence results for fractional mixed boundary value problems via a Lyapunov-type inequality
In this article, we prove a Lyapunov-type inequality for a fractional differential equation under mixed boundary conditions. As applications, we...
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Spacelike submanifolds with parallel Gaussian mean curvature vector: rigidity and nonexistence
Under suitable boundedness of the second fundamental form, we apply a Nishikawa type maximum principle for the drift Laplacian to prove that the...
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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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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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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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Nonexistence and rigidity of spacelike mean curvature flow solitons immersed in a GRW spacetime
We study the nonexistence and rigidity of an important class of particular cases of trapped submanifolds, more precisely, n -dimensional spacelike...