Sign-Changing Solutions
RETRACTED ARTICLE: Sign changing solutions to Schrödinger Kirchhoff type equations with critical exponent
... finding sign-changing solutions is a very classical ...study sign-changing solutions; see, for example, [, ] and the references ...obtained sign-changing so- ...
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Infinitely many sign changing solutions for a Schrö dinger equation
... Remark 1.1 In [2,3], they got sign-changing solutions for elliptic problem with Dirichlet boundary value. Those abstract results involved a Banach space of continuous functions in the Hilbert space, ...
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Ground state sign-changing solutions for semilinear Dirichlet problems
... minimizer of on M may not be unique, and their arguments become invalid. This pa- per intends to address this problem caused by the dropping of this “strictly increasing” condition on f . Motivated by the works [2, 6, 9, ...
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Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
... of solutions, ground state solutions, semiclassical state solutions, positive and negative solutions, high energy and least energy solutions, and sign-changing ...
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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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Least energy sign-changing solutions for Kirchhoff–Poisson systems
... of sign-changing solutions for the Kirchhoff problem, there are very few results in the ...energy sign-changing solution of problem ...
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The eigenvalues and sign changing solutions of a fractional boundary value problem
... We shall organize the rest of this paper as follows. In Section , some basic definitions and preliminaries are given. Furthermore the eigenvalues and its algebraic multiplicities of (.) are considered. In Section , ...
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Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations
... of sign- changing solutions, sometimes called nodal ...three solutions, including a nodal one, for a second-order problem in a bounded domain and with Dirichlet boundary ...nodal ...
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Sign-changing solutions for asymptotically linear operator equations and applications
... Theorem . and to obtain some existence theorems of sign-changing solutions for asymp- totically linear operator equations. Then, we apply the abstract results obtained in this paper to nonlinear ...
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Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem
... In this paper, our purpose is to establish some sufficient conditions for the ex- istence of solutions for (1.1). First, we will construct a functional I such that so- lutions of (1.1) correspond to critical ...
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Sign changing solutions to discrete fourth order Neumann boundary value problems
... of sign-changing solutions, positive solutions, and negative solutions for BVP ...of sign-changing solutions, positive solutions, and negative ...
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Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems
... chaotic solutions; see 3 for ...between solutions to continuous systems and the corresponding discrete systems by employing discrete variable methods ...
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The estimation and profile of the critical value for a Schrödinger equation
... 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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Iterative solutions for fractional nonlocal boundary value problems involving integral conditions
... of solutions or positive solutions of nonlinear ...of solutions for fractional differential equations; see [, , ...nontrivial sign-changing solutions to fractional differential ...
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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 ...
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Existence of infinitely many solutions for generalized Schrödinger-Poisson system
... Furthermore, Sun et al. [] studied system (.) for f (x, u) being asymptotically linear and obtained ground state solutions. In [], Huang et al. obtained the existence of at least a pair of fixed sign ...
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A Nonexistence of Solutions to a Supercritical Problem
... Concerning the supercritical case, @ > 0 and K is a constant, it was proved in [4] that has no positive solution which blows up at a single point. This result shows that the situation is different from the subcritical ...
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Multiple Solutions of -Laplacian with Neumann and Robin Boundary Conditions for Both Resonance and Oscillation Problem
... one sign-changing solution which is of mountain pass type from the mountain pass theorem in order ...multiple solutions of p 1 , we notice that there may be infinitely many ...
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Positive solutions of higher order nonlinear fractional differential equations with changing sign measure
... positive solutions for more general fractional order BVP ...positive solutions for the BVP ...lower solutions, instead of using a fixed point theorem on cone, some sufficient conditions for the ...
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Multiplicity of positive solutions for fractional elliptic systems involving sign-changing weight
... where ε is a positive parameter, f has a subcritical growth, V possesses a local minimum. For ε = , we would like to cite [, ] for the existence of one positive solution imposing a global condition on V . For ε is a ...
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