Results 11 to 20 of about 77 (75)

Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

open access: yesMathematical 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
wiley   +1 more source

A Depth‐Averaged Material Point Method for Shallow Landslides: Applications to Snow Slab Avalanche Release

open access: yesJournal 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
wiley   +1 more source

The Coherence of Buddhism: Relativism, Ethics, and Psychology

open access: yesJournal 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
wiley   +1 more source

Infinitely Many Solutions for a Class of Fractional Impulsive Coupled Systems with (p,q)-Laplacian

open access: yesDiscrete Dynamics in Nature and Society, 2018
By using the symmetric mountain pass lemma, we investigate the problem of existence of infinitely many solutions for a class of fractional impulsive coupled systems with (p,q)-Laplacian, which possesses mixed type nonlinearities, and the nonlinearities ...
Junping Xie, Xingyong Zhang
doaj   +1 more source

Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions

open access: yesJournal of Applied Mathematics, 2013
This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions
Yuan Shan, Baoqing Liu
doaj   +1 more source

Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations

open access: yesAbstract and Applied Analysis, 2012
This paper deals with the periodic solutions of a class of fourth-order superlinear differential equations. By using the classical variational techniques and symmetric mountain pass lemma, the periodic solutions of a single equation in literature are ...
Yanyan Li, Yuhua Long
doaj   +1 more source

Infinitely many solutions for Schrödinger–Kirchhoff-type equations involving indefinite potential

open access: yesElectronic 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
doaj   +1 more source

Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term

open access: yesJournal of Applied Mathematics, 2012
We study the following fourth-order elliptic equations: Δ2𝑢+𝑎Δ𝑢=𝑓(𝑥,𝑢),𝑥∈Ω,𝑢=Δ𝑢=0,𝑥∈𝜕Ω, where Ω⊂ℝ𝑁 is a bounded domain with smooth boundary 𝜕Ω and 𝑓(𝑥,𝑢) is asymptotically linear with respect to 𝑢 at infinity.
Qiong Liu, Dengfeng Lü
doaj   +1 more source

Infinitely many solutions to quasilinear Schrödinger equations with critical exponent

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
doaj   +1 more source

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

open access: yesMathematische 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
wiley   +1 more source

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