Results 31 to 40 of about 1,049 (122)
On the symmetry of minimizers in constrained quasi-linear problems [PDF]
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.Comment: 18 ...
Squassina, Marco
core +1 more source
Multiple solutions for a problem with resonance involving the p‐Laplacian
In this paper we will investigate the existence of multiple solutions for the problem where Δpu = div(|∇u|p−2∇u) is the p‐Laplacian operator, Ω⫅ℝN is a bounded domain with smooth boundary, h and g are bounded functions, N ≥ 1 and 1 < p < ∞. Using the Mountain Pass Theorem and the Ekeland Variational Principle, we will show the existence of at least ...
C. O. Alves +2 more
wiley +1 more source
Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents
In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
doaj +1 more source
Lagrangian Approach to Dispersionless KdV Hierarchy [PDF]
We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement of the so-called r-matrix ...
Choudhuri, Amitava +2 more
core +3 more sources
N‐Laplacian equations in ℝN with critical growth
We study the existence of nontrivial solutions to the following problem: where a is a continuous function which is coercive, i.e., a(x) → ∞ as |x| → ∞ and the nonlinearity f behaves like exp(α|u|N/(N−1)) when |u| → ∞.
João Marcos B. do Ó
wiley +1 more source
Sign-Changing Solutions for a Class of Zero Mass Nonlocal Schrödinger Equations
We consider the following class of fractional Schrödinger equations:
Ambrosio Vincenzo +3 more
doaj +1 more source
On a fractional Schrödinger-Poisson system with strong singularity
We investigate a fractional Schrödinger-Poisson system with strong singularity as follows: (−Δ)su+V(x)u+λϕu=f(x)u−γ,x∈R3,(−Δ)tϕ=u2,x∈R3,u>0,x∈R3,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+V\left(x)u+\lambda \phi u=f\left(x){u}^{-\gamma },& x\in ...
Yu Shengbin, Chen Jianqing
doaj +1 more source
A series of experiments were made determining textural, microstructural, and mechanical properties in cold drawn, and spheroidization heat treated low‐C steel wires (AISI‐1018 and 1033 grades). It was found that texture exerted a significant influence on the mechanical properties, while microstructure had a comparable influence.
P. Gangli, J. A. Szpunar, Sugondo
wiley +1 more source
Solvability of Parametric Elliptic Systems with Variable Exponents
In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass +1 more
doaj +1 more source
On the existence of the solution of Burgers′ equation for n ≤ 4
In this paper a proof of the existence of the solution of Burgers′ equation for n ≤ 4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers′ equation.
Adel N. Boules
wiley +1 more source

