[PDF] Top 20 Multiple solutions to nonlinear Schrödinger equations with critical growth
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Multiple solutions to nonlinear Schrödinger equations with critical growth
... investigating solutions of ...such solutions have been extensively ...spikes solutions in the whole space R N , please see [–] etc. For multiple interior spikes, please see [, ] ... See full document
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On Kirchhoff Problems Involving Critical Exponent and Critical Growth
... and Multiple Solutions of Kir- chhoff Type Problems without the ...Condition. Nonlinear Analysis: Theory , Methods & Applications , 70, ...Sign-Changing Solutions of a Class of Nonlocal ... See full document
12
Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations
... In [, ], the author and Soares proved the existence of a concentrating sequence of so- lutions of the singular perturbed version of (.), considering, respectively, a global and a local condition on the potential V, ... See full document
17
Multiple solutions of discrete Schrödinger equations with growing potentials
... discrete nonlinear Schrödinger equation is one of the most important discrete mod- els, which plays an important role in many fields; for example, in biomolecular chains [], nonlinear optics [], ... See full document
14
Multi peak solutions for a nonlinear Schrödinger Poisson system including critical growth in \(\mathbb{R}^{3}\)
... of solutions to (.) is the class of solutions with the finite energy for ε > ...these solutions are called bound states; they are referred to as semiclassical ... See full document
8
Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
... of solutions for fractional Kirchhoff equation like ...state solutions for ...state solutions by using the monotonicity trick and the profile ...the critical case of ...state solutions by ... See full document
21
Ground state solution and multiple solutions to asymptotically linear Schrödinger equations
... the nonlinear term is asymptotically linear at infinity, there are some results in the literature [–] and the references therein, where multiplicity results are considered in [–, , , ...many ... See full document
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RETRACTED ARTICLE: Sign changing solutions to Schrödinger Kirchhoff type equations with critical exponent
... For example, Wu [] and many others [–], using variational methods, proved the exis- tence of nontrivial solutions to (.) with subcritical nonlinearities. Li and Ye [] obtained the existence of a positive ... See full document
14
Existence of three solutions for equations of \(p(x)\)-Laplace type operators with nonlinear Neumann boundary conditions
... three critical points theorem has become one of the main tools for finding the multiple solutions to elliptic equations of variational ...weak solutions of nonlinear elliptic ... See full document
16
Positive solutions for coupled Schrödinger system with critical exponent in \(\mathbb{R}^{N}\) (\(N\geq5\))
... 1. Akhmediev, N, Ankiewicz, A: Partially coherent solitons on a finite background. Phys. Rev. Lett. 82, 2661-2664 (1999) 2. Esry, B, Greene, C, Burke, J, Bohn, J: Hartree-Fock theory for double condensates. Phys. Rev. ... See full document
18
Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms
... many solutions; see ...nonnegative solutions to critical Kirch- hoff ...p-Kirchhoff equations was considered. The sign-changing solutions to Kirchhoff problems are also ...sign-changing ... See full document
13
Existence of positive solutions for a critical nonlinear Schrödinger equation with vanishing or coercive potentials
... Equation (.) arises in various applications, such as chemotaxis, population genetics, chemical reactor theory and the study of standing wave solutions of certain nonlinear Schrödinger ... See full document
30
Infinitely many high energy solutions for fractional Schrödinger equations with magnetic field
... energy solutions and infinitely many solutions under suitable ...of solutions for a nonlinear fractional magnetic Schrödinger equation by using variational methods and ... See full document
11
Multiple soliton solutions and a generalized double Wronskian determinant to the \((2+1)\) dimensional nonlinear Schrödinger equations
... in nonlinear optical fibers and of surface gravity waves in fluid dynamics ...complex nonlinear phenomena of our realistic world, some generalizations of the widely used ( + )-dimensional ...physics, ... See full document
10
Existence of Ordered Solutions to Quasilinear Schrödinger Equations with General Nonlinear Term
... But Lemma 4.1 ensures that the trivial solution is an isolated solution of problem (2). Hence a second independent solution of problem (2) should exist since the solution found in Lemma 4.2 is a local minimum of I . In ... See full document
17
Multiple solutions for the p-Laplacian problem with supercritical exponent
... It seems that great progress has been made for the subcritical and critical exponents. Naturally, the question whether there exist solutions for the supercritical case or not is in- teresting for us. ... See full document
15
Orbital stability of generalized Choquard equation
... results to general p. Moreover, they derived the regularity and the decay asymptotic at infinity of the ground states. For more details as regards equation (), we refer to [–]. Here, we are interested in the orbital ... See full document
8
Harnack inequality for subelliptic p Laplacian equations of Schrödinger type
... This article is devoted to presenting the elementary proof of the local estimate and the Harnack inequality for the solutions of Equation (.), which is the extension of the related results in [, ], where p = ... See full document
11
Existence results for the general Schrödinger equations with a superlinear Neumann boundary value problem
... mentioned equation. More precisely, we formulated conditions on a function g , which guarantee that the graph of at least one solution for the above-mentioned equation stays in the prescribed domain. These results ... See full document
18
Multiple periodic solutions for the second order nonlinear difference equations
... When δ = 1, equation (1) has been considered in [17] and [19]. When δ = 1 and ∇ F(n, x) = 0, equation (1) has been also studied. For example, in [1] and [8], the authors were interested in the results on disconjugacy, ... See full document
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