Results 41 to 50 of about 20,112 (145)

Positive solutions of Schrodinger-Poisson systems with Hardy potential and indefinite nonlinearity

Electronic Journal of Differential Equations, 2020
In this article, we study the nonlinear Schrodinger-Poisson system $$\displaylines{ -\Delta u+u-\mu\frac{u}{|x|^2}+l(x) \phi u=k(x)|u|^{p-2}u \quad x\in\mathbb{R}^3, \cr -\Delta\phi=l(x)u^2 \quad x\in\mathbb{R}^3, }$$ where $k\in C(\mathbb{R}^3 ...
Yongyi Lan, Biyun Tang, Xian Hu
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Dirichlet Problems with an Indefinite and Unbounded Potential and Concave-Convex Nonlinearities

Abstract and Applied Analysis, 2012
We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term.
Leszek Gasiński, Nikolaos S. Papageorgiou   +1 more
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Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials

Advanced Nonlinear Studies, 2017
Abstract In this paper, we consider a class of Schrödinger equations involving fractional Laplacian and indefinite potentials. By modifying the definition of the Nehari–Pankov manifold, we prove the existence and asymptotic behavior of least energy solutions.
Tang Zhongwei, Wang Lushun
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Existence of solutions to quasilinear Schrodinger equations with indefinite potential

Electronic Journal of Differential Equations, 2015
In this article, we study the existence and multiplicity of solutions of the quasilinear Schrodinger equation $$ -u''+V(x)u-(|u| ^2)''u=f(u) $$ on $\mathbb{R}$, where the potential $V$ allows sign changing and the nonlinearity satisfies conditions
Zupei Shen, Zhiqing Han
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Multiple solutions for eigenvalue problems involving an indefinite potential and with (p1(x), p2(x)) balanced growth

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we are concerned with the study of the spectrum for a class of eigenvalue problems driven by two non-homogeneous differential operators with different variable growth and an indefinite potential in the following ...
Uţă Vasile-Florin
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Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗

Advances in Mathematical Physics, 2020
In this paper, we show the existence of solutions for an indefinite fractional Schrödinger equation driven by the variable-order fractional magnetic Laplace operator involving variable exponents and steep potential.
Jianwen Zhou, Bianxiang Zhou, Liping Tian, Yanning Wang   +3 more
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Positive bounded solutions for semilinear elliptic systems with indefinite weights in the half-space

Electronic Journal of Differential Equations, 2015
In this article, we study the existence and nonexistence of positive bounded solutions of the Dirichlet problem $$\displaylines{ -\Delta u=\lambda p(x)f(u,v),\quad \text{in } {\mathbb{R}}_+^n,\cr -\Delta v=\lambda q(x)g(u,v), \quad \text{in ...
Ramzi Alsaedi, Habib Maagli, Vicentiu Radulescu, Noureddine Zeddini   +3 more
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Equiaffine Braneworld

Galaxies, 2020
Higher dimensional theories, wherein our four dimensional universe is immersed into a bulk ambient, have received much attention recently, and the directions of investigation had, as far as we can discern, all followed the ordinary Euclidean hypersurface
Fan Zhang
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An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight [PDF]

AUT Journal of Mathematics and Computing
This paper discusses the existence of at least two distinct nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition.
Mehdi Latifi, Mohsen Alimohammady
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Antisymmetric Tensor Fields, 4-Potentials and Indefinite Metrics

, 2004
We generalize the Stueckelberg formalism in the (1/2,1/2) representation of the Lorentz Group. Some relations to other modern-physics models are found.
openaire   +3 more sources