Results 1 to 10 of about 160 (129)
Classification of stable solutions for non-homogeneous higher-order elliptic PDEs. [PDF]
J Inequal Appl, 2017 Under some assumptions on the nonlinearity f, we will study the nonexistence of nontrivial stable solutions or solutions which are stable outside a compact set of R n $\mathbb {R}^{n}$ for the following semilinear higher-order problem: ( − Δ ) k u = f ...
Harrabi A, Rahal B, Hamdani MK.
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Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system [PDF]
Mathematics Interdisciplinary Research, 2022 This article addresses the following biharmonic type of the Kirchhoff-Schrödinger-Maxwell system;∆2 w − (a1 +b1∫RN |∇w| 2 )∆w + ηψw = q(w) in RN,−∆ψ = ηw2 in RN ...
Seyed Nasser Ahmadi, Mohsen Alimohammady
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
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Existence and nonexistence of solutions for elliptic problems with multiple critical exponents
Open Mathematics, 2023 In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
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Mathematics, 2023 We investigate a class of fractional linearly coupled Choquard systems. For the subcritical case and all critical cases, we prove the existence, nonexistence and symmetry of positive ground state solutions of systems, by using the Nehari manifold method,
Huiqin Lu, Kexin Ouyang
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Frontiers in Physics, 2023 In this paper, we consider the non-existence and existence of solutions for a generalized quasilinear Schrödinger equation with a Kirchhoff-type perturbation.
Guofa Li +3 more
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On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
Studies in Applied Mathematics, Volume 150, Issue 1, Page 92-118, January 2023., 2023 Abstract We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy‐subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time.
Rémi Carles, Yavdat Il'yasov
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Open Mathematics, 2022 In this article, we study two classes of Kirchhoff-type equations as follows: −a+b∫R3∣∇u∣2dxΔu+V(x)u=(Iα∗∣u∣p)∣u∣p−2u+f(u),inR3,u∈H1(R3),\left\{\begin{array}{l}-\left(a+b\underset{{{\mathbb{R}}}^{3}}{\overset{}{\int }}| \nabla u{| }^{2}{\rm{d}}x\right ...
Zhou Li, Zhu Chuanxi
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Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain.
Xiaofei Cao, Junxiang Xu
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Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth
Abstract and Applied Analysis, 2012 We investigate the existence of ground-state solutions for a class of N-Laplacian equation with critical growth in ℝN. Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.
Guoqing Zhang, Jing Sun
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