Results 21 to 30 of about 110 (85)
Mathematical Methods in the Applied Sciences, Volume 46, Issue 16, Page 16782-16801, 15 November 2023., 2023 In this article, we obtain the existence and infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters, via combining the variational method, and the concentration‐compactness principle for anisotropic variable exponent under suitable assumptions on the ...
Nabil Chems Eddine +2 more
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Existence and multiplicity of solutions for a class of p-Kirchhoff-type equation RN
Open Mathematics, 2023 This article shows the existence and multiplicity of solutions for the following pp-Kirchhoff-type equation: a+b∫RN(∣∇u∣p+V(x)∣u∣p)dx(−△pu+V(x)∣u∣p−2u)=λg(x)∣u∣r−2u−h(x)∣u∣q−2u,inRN.\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}\left({| \nabla u| }^{
Chen Lijuan +2 more
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Journal of Geophysical Research: Earth Surface, Volume 128, Issue 8, August 2023., 2023 Abstract Shallow landslides pose a significant threat to people and infrastructure. Despite significant progress in the understanding of such phenomena, the evaluation of the size of the landslide release zone, a crucial input for risk assessment, still remains a challenge.
Louis Guillet +4 more
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The Coherence of Buddhism: Relativism, Ethics, and Psychology
Journal of Religious Ethics, Volume 51, Issue 2, Page 321-341, June 2023., 2023 ABSTRACT This essay defends a Buddhist answer to the question of how a skeptical tradition might account for its moral position. Two domains in Buddhist thought and practice are often considered to be dissimilar, perhaps contradictory. On the one hand, there is an aspiration to nirvana and a philosophy that describes everything as “emptiness” and ...
Jonathan C. Gold
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, 2012 In this paper, we study the existence and multiplicity of solutions of the following quasilinear elliptic problem{−div(a(|∇u|)∇u)=f(x,u),in Ω,u=0,on ∂Ω, where Ω⊂RN is a bounded domain with smooth boundary ∂Ω.
Fei Fang +3 more
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Infinitely many solutions for Schrödinger–Kirchhoff-type equations involving indefinite potential
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the multiplicity of solutions for the following Schrödinger–Kirchhoff-type equation \[ \begin{cases}-\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\triangle u+V(x)u=f(x,u)+g(x,u), \quad x\in \mathbb{R}^N,\\ u\in H^1(\mathbb{R}^
Qingye Zhang, Bin Xu
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Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation I. Mountain pass and Lusternik-Schnirel’man patterns in RN [PDF]
, 2016 Solutions of the stationary semilinear Cahn-Hilliard-type equation −Δ2u−u−Δ(|u|p−1u)=0 in RN, with p > 1, which are exponentially decaying at infinity, are studied.
Galaktionov, Victor A. +4 more
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Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa +2 more
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Boundary Value Problems, 2019 We obtain multiplicity and uniqueness results in the weak sense for the following nonhomogeneous quasilinear equation involving the p(x) $p(x)$-Laplacian operator with Dirichlet boundary condition: −Δp(x)u+V(x)|u|q(x)−2u=f(x,u)in Ω,u=0 on ∂Ω, $$ -\Delta ...
Aboubacar Marcos, Aboubacar Abdou
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(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth
Mathematische Nachrichten, Volume 299, Issue 3, Page 675-698, March 2026.Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss +2 more
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