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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...
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Nonexistence of Global Solutions for Fractional Differential Problems with Power Type Source Term
In this paper, we study the nonexistence of nontrivial global solutions for a nonlinear fractional differential. The equation involves two Hadamard...
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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 positive solutions for the weighted higher-order elliptic system with Navier boundary condition
We establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first...
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Existence and Nonexistence of Global Solutions for a Wave System with Different Structural Dam** Terms
In this article, we study the Cauchy problem for a weakly coupled system of semi-linear wave equations with different structural dam** terms. The...
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Even-order differential equation with continuous delay: nonexistence criteria of Kneser solutions
In this paper, we study even-order DEs where we deduce new conditions for nonexistence Kneser solutions for this type of DEs. Based on the...
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Positive Solutions for Some Classes of Stationary Kirchhoff Equations
We investigate positive solutions of some classes of stationary Kirchhoff equations. The nonexistence, existence and multiplicity of solutions are...
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Positive solutions of biharmonic elliptic problems with a parameter
In this article, we analyze the existence, multiplicity and nonexistence of positive solutions for a class of biharmonic equations with Navier...
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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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Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian
AbstractA nonlocal nonlinear parabolic equation with fractional Laplacian is considered. By means of the method of test functions, the...
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The existence or nonexistence of solutions for some equations involving weighted critical exponents on the unit ball
In this paper, we extend the results of Brézis and Willem (J Funct Anal 255:2286–2298, 2008) to the equation with single or double weighted critical...
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Eigenvalue Criteria for Existence and Nonexistence of Positive Solutions for \(\alpha \) -Order Fractional Differential Equations on the Half-Line ( \(2 <\alpha \le 3\) ) with Integral Condition
This article concerns the nonexistence and existence of positive solutions to the fractional differential equations...
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Global Nonexistence of Solutions for a Class of Viscoelastic Lamé System
The aim of this work is to study the blow-up result for a Lamé system of viscoelastic equation with variable-exponent nonlinearities and strong...
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On the Number of Positive Solutions for a Higher Order Elliptic System
Some new criteria on existence of positive solution for a higher order elliptic problem with an eigenvalue parameter are established under some...