Sign-Changing Solution
Sign-changing solution and ground state solution for a class of \((p,q)\)-Laplacian equations with nonlocal terms on \(\mathbb{R}^{N}\)
... Then we show that the minimizer is indeed a sign-changing solution of (.). As we have mentioned before, the functional I no longer satisfies the properties (.), so it is more difficult to prove that ...
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On a sign-changing solution for some fractional differential equations
... denotes the Euler gamma function, provided that the right side is point wise defined on (, +∞). The existence result of a sign-changing solution is given by topological degree theory and fixed point ...
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Sign-changing solution for a third-order boundary-value problem in ordered Banach space with lattice structure
... The main contribution of this paper are as follows: (a) for the sign-changing solutions of the problem (.), to our knowledge, there is no result using the eigenvalues of the linear operator until now; (b) ...
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The existence of sign-changing solution for a class of quasilinear Schrödinger–Poisson systems via perturbation method
... a sign-changing solution to a class of quasilinear Schrödinger–Poisson ...a sign-changing solution with precisely two nodal domains is ...
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Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms
... positive solution and infinitely many solutions; see ...The sign-changing solutions to Kirchhoff problems are also ...of sign-changing solutions for b = , V (x) = K(x) = ...
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Ground state sign-changing solutions for semilinear Dirichlet problems
... standard growth assumptions on f and a weak version of Nehari type monotonicity condition that the function t → f(x,t)/|t| is non-decreasing on (–∞, 0) ∪ (0, ∞) for every x ∈ , we prove that (0.1) possesses one ground ...
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Least energy sign-changing solutions for Kirchhoff–Poisson systems
... where p ∈ (3, 5) and a(x) satisfies some mild conditions, especially, the potential function V can be nonconstant and indefinite in sign. By a variational approach, they also get some results of the existence of one ...
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Sign-changing solutions for asymptotically linear operator equations and applications
... of sign-changing solutions for nonlinear partial differential equations (see [–] and the references ...of sign-changing solution for nonlinear operator equations by using the cone ...
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The estimation and profile of the critical value for a Schrödinger equation
... trivial solution of ...one sign changing ...of sign changing solutions of ...of sign changing solutions u k (k ≥ ), and they have at most k + nodal ...
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Sign-Changing and Extremal Constant-Sign Solutions of Nonlinear Elliptic Neumann Boundary Value Problems
... The motivation of our study is a recent paper of the author in 1 in which problem 1.1 was treated in case a b. We extend this approach and prove the existence of multiple solutions for the more general problem 1.1. To be ...
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5928.pdf
... is it necessarily unique (perhaps with a small radius R)? In pursuit of this question, we supplemented the vector field that was used by Clemons and Jones [7] to show uniqueness in the case k = 1 in with another vector ...
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Sign-changing solutions for some nonlinear problems with strong resonance
... The resonance problem has been widely studied by many authors using various methods–see [1-6] and the references therein. We will use critical point and pseudo- index theories to obtain the sign-changing ...
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Damped vibration problems with sign-changing nonlinearities: infinitely many periodic solutions
... We obtain infinitely many nontrivial periodic solutions for a class of damped vibration problems, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be ...
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A generalization of the compression cone method for integral operators with changing sign kernel functions
... Generally speaking, comparing to positive Green’s functions, it is more difficult to con- struct a suitable cone when the kernel of the integral operator is not positive. In this paper, a bounded linear functional L is ...
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Existence and concentration of a nonlinear biharmonic equation with sign changing potentials and indefinite nonlinearity
... potential well whose depth is controlled by λ, were firstly introduced by Bartsch and Wang [3], in which the authors studied the nonlinear Schrödinger equations. For λ > 0 large, one expects to find solutions which ...
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Positive solutions of the periodic problems for quasilinear difference equation with sign changing weight
... subject to diverse boundary conditions have been investigated by several authors; we re- fer the reader to [4–6] and the references therein. For example, Bereanu and Mawhin [4] proved some existence results of solutions ...
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Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations
... In this work we obtain three radial solutions of a biharmonic stationary Schrödinger equation, one being positive, one negative, and one sign changing. The dual decomposition method is used to split the ...
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Sign changing solutions to discrete fourth order Neumann boundary value problems
... The organization of this paper is as follows. In Section , we state some notations and preliminary knowledge about the topological degree theory and fixed point index theory. In Section , we present the spectrum of ...
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Infinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential
... nontrivial solution of this kind of equation on a bounded ...possibly changing sign, gu has superlinear growth and λ is a positive real parameter; he discussed both the cases of subcritical and ...
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Existence and multiplicity of solutions for Klein–Gordon–Maxwell systems with sign changing potentials
... dealt with by Azzollini, Pisani, and Pomponio in [5]. Mugnai in [6] studied the existence of radially symmetric solitary waves for a system of a nonlinear Klein–Gordon equation cou- pled with Maxwell’s equation in the ...
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