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On the existence of solutions to a fractional (p, q)-Laplacian system on bounded domains
Springer Science and Business Media LLC - Tập 8 - Trang 231-253 - 2022
We study the existence of solutions for the fractional (p, q)-laplacian system
$$\begin{aligned} \left\{ \begin{array}{llll} (-\Delta )_p^su &{} =\lambda b(x)|u|^{\gamma -2}u +\displaystyle \frac{\alpha }{\alpha +\beta } a(x)|u|^{\alpha -2}u |v |^\beta &{}in&{} \Omega , \\ (-\Delta )_q^lv &{} =\nu c(x)|v|^{\gamma -2}v + \display...... hiện toàn bộ
Well-posedness and stability of solutions for the 3-D generalized micropolar system in Fourier–Besov–Morrey spaces
Springer Science and Business Media LLC - Tập 9 Số 2 - Trang 725-755 - 2023
Study of some elliptic system of (p(x),q(x))-Kirchhoff type with convection
Springer Science and Business Media LLC - Tập 9 - Trang 687-704 - 2023
In this paper, we study the existence of weak solutions for a nonlocal elliptic system involving the (p(x), q(x))-Kirchhoff–Laplacian operators with Dirichlet boundary conditions, in the case of a reaction term depending also on the gradient (convection). Using a topological degree for a class of demicontinuous operators of generalized
...... hiện toàn bộ
Infinitely many fast homoclinic solutions for a class of superquadratic damped vibration systems
Springer Science and Business Media LLC - Tập 6 - Trang 451-471 - 2020
Consider the following damped vibration system
$$\begin{aligned} \ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0,\ \forall t\in \mathbb {R} \qquad \qquad (1) \end{aligned}$$
where
$$q\in C(\mathbb {R},\mathbb {R})$$
,
$$L\in C(\mathbb {R},\mathbb {R}^{N^{2}})$$
and
$$W\in C(\mathbb {R}\times \mathbb {R}^{N},\ \mathbb {R})$$
. Applying a Symmetric Mountain Pass Theorem, we prove the...... hiện toàn bộ
Multiple positive solutions for a fractional $$ p \& q$$ -Laplacian system with concave and critical nonlinearities
Springer Science and Business Media LLC - Tập 9 - Trang 781-805 - 2023
In this paper, we study the following nonlinear fractional p &q-Laplacian system with critical exponent
$$\begin{aligned} {\left\{ \begin{array}{ll}(-\Delta )_p^{s_1} u+(-\Delta )_q^{s_2} u=\lambda \vert u\vert ^{r-2} u+\frac{2 \alpha }{\alpha +\beta }\vert u\vert ^{\alpha -...... hiện toàn bộ
Sign-changing solutions for p-Laplacian Kirchhoff-type equations with critical exponent
Springer Science and Business Media LLC - Tập 9 - Trang 1291-1317 - 2023
In this article we are concerned with the p-Laplacian Kirchhoff-type problem with critical exponent:
$$\begin{aligned} {\left\{ \begin{array}{ll} -(a+b\int \limits _{\Omega } \vert \nabla u \vert ^p)\Delta _p u=\lambda f(x, u)+ \vert u\vert ^{p^*-2}u, \quad &{}\text {in } \Omega ,\\ u=0, \quad &{}\text {on }\partial \Omega , \en...... hiện toàn bộ
Stationary solutions for a 1D pde problem with gradient term and negative powers nonlinearity
Springer Science and Business Media LLC - Tập 8 - Trang 885-918 - 2022
Stationary solutions for the one-dimensional partial differential equation with gradient term and negative powers nonlinearity are considered. This equation is a kind of MEMS equation that has the phenomena of MEMS (micro-electro mechanical system) devices as its background. However, it is not easy to understand the behavior of the solution from the effect of the nonlinear term. Therefore, the pur...... hiện toàn bộ
Solutions of a Schrödinger–Kirchhoff–Poisson system with concave–convex nonlinearities
Springer Science and Business Media LLC - - 2023
Existence of multiple solutions to an elliptic problem with measure data
Springer Science and Business Media LLC - - 2018
Grain Boundary Migration with Thermal Grooving Effects: A Numerical Approach
Springer Science and Business Media LLC - Tập 2 - Trang 389-413 - 2017
Grain boundary migration in the presence of thermal grooving effects play a critical role in the stability of the thin polycrystalline films used in numerous technological applications. We present a computational framework for simulating this motion which relies on a physical model due to Mullins [33, 26], according to which the grain boundaries and the external surfaces are governed by mean curva...... hiện toàn bộ
Tổng số: 209
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