Results 1 to 10 of about 168,810 (119)
Existence results and a priori estimates for solutions of quasilinear problems with gradient terms [PDF]
Opuscula Mathematica, 2019 In this paper we establish a priori estimates and then an existence theorem of positive solutions for a Dirichlet problem on a bounded smooth domain in \(\mathbb{R}^N\) with a nonlinearity involving gradient terms.
Roberta Filippucci, Chiara Lini
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Trends in Computational and Applied Mathematics, 2022 In this work we obtain a variational formulation and {\it a priori} estimates for approximate solutions of a problem involving fractional diffusion equations.
M. E. de S. Lima +2 more
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On a boundary value problem for a Boussinesq-type equation in a triangle
Вестник КазНУ. Серия математика, механика, информатика, 2022 Earlier, we considered an initial-boundary value problem for a one-dimensional Boussinesq-type equation in a domain that is a trapezoid, in which the theorems on its unique weak solvability in Sobolev classes were established by the methods of the theory
M. T. Jenaliyev +2 more
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A priori estimates of global solutions of superlinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider the parabolic system $ u_{t}-\Delta u = u^{r}v^{p}$, $v_{t}-\Delta v = u^{q}v^{s}$ in $\Omega\times(0,\infty)$, complemented by the homogeneous Dirichlet boundary conditions and the initial conditions $(u,v)(\cdot,0) = (u_{0},v_{0})$ in ...
Július Pačuta
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Bounded solutions for a class of Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$.
Philip Korman, Guanying Peng
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On the fully discrete approximations of the MGT two-temperatures thermoelastic problem
Archives of Mechanics, 2022 We consider a one-dimensional two-temperatures thermoelastic model. The corresponding variational problem leads to a coupled system which is written in terms of the mechanical velocity, the temperature speed and the inductive temperature.
J. Baldonedo +2 more
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Cauchy–Dirichlet Problem to Semilinear Multi-Term Fractional Differential Equations
Fractal and Fractional, 2023 In this paper, we analyze the well-posedness of the Cauchy–Dirichlet problem to an integro-differential equation on a multidimensional domain Ω⊂Rn in the unknown u=u(x,t), Dtν0(ϱ0u)−Dtν1(ϱ1u)−L1u−∫0tK(t−s)L2u(x,s)ds=f(x,t)+g(u ...
Nataliya Vasylyeva
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Existence of positive solutions of elliptic equations with Hardy term
Electronic Journal of Qualitative Theory of Differential EquationsThis paper is devoted to studying the existence of positive solutions of the problem: \begin{equation} \begin{cases}\label{0.1}\tag{$\ast$} -\Delta u=\frac{u^{p}}{|x|^{a}}+h(x,u,\nabla u), & \mbox{in} \ \Omega,\\ u=0, & \mbox{on}\ \partial\Omega,\\ \end{
Huimin Yan, Junhui Xie
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The Existence and Uniqueness of Nonlinear Elliptic Equations with General Growth in the Gradient
MathematicsIn this paper, we prove the existence and uniqueness results for a weak solution to a class of Dirichlet boundary value problems whose prototype is −Δpu=β|∇u|q+f in Ω, u=0 on ∂Ω, where Ω is a bounded open subset of RN, N≥2 ...
Angelo Alvino +2 more
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A priori estimates and existence of positive solutions for elliptic problems under integral Neumann boundary conditions [PDF]
Opuscula MathematicaIn this paper, we establish a priori estimates and existence of positive solutions for elliptic problems under integral Neumann boundary conditions.
Francisco J.S.A. Corrêa +2 more
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