Results 21 to 30 of about 145 (131)
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]
Opuscula Mathematica, 2015 In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
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On positive weak solutions for a class of weighted (p(.), q(.))−Laplacian systems
Moroccan Journal of Pure and Applied Analysis, 2019 In this paper, we study the existence of positive weak solutions for a quasilinear elliptic system involving weighted (p(.), q(.))−Laplacian operators. The approach is based on sub-supersolutions method and on Schauder’s fixed point theorem.
Azroul Elhoussine +2 more
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Hopf-Lax type formula for sub- and supersolutions
Advances in Differential Equations, 2000 The continuous as well as discontinuous viscosity solutions of a certain Hamilton-Jacobi equation \[ \begin{cases} u_t+H(u,Du)= 0\quad \text{for } (x,t) \in\mathbb{R}^n \times\mathbb{R}_+ \\ u(x,0)=u_0(x), \end{cases} \tag{1} \] are studied. Explicit formulas for continuous as well as for the sub- and supersolutions of (1) under the assumption that \(H(
Adimurthi, Veerappa Gowda, G. D.
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Complexity, 2020 The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two ...
Youcef Bouizem +2 more
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Minimal positive solutions for systems of semilinear elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to a system of nonlinear PDEs containing gradient terms. Applying the approach based on Sattinger's iteration procedure we use sub and supersolutions methods to prove the existence of positive solutions with minimal growth.
Aleksandra Orpel
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Multiplicity for a strongly singular quasilinear problem via bifurcation theory
Bulletin of Mathematical Sciences, 2023 A [Formula: see text]-Laplacian elliptic problem in the presence of both strongly singular and [Formula: see text]-superlinear nonlinearities is considered.
Jacques Giacomoni +2 more
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Optimal Sub- or Supersolutions in Reaction-Diffusion Problems
Journal of Differential Equations, 2002 The author considers the semilinear parabolic problem \[ \begin{aligned} & {{\partial u}\over{\partial t}} = \Delta u + f(u) \quad\text{in}\quad \Omega\times(0,T), \\& {{\partial u}\over{\partial n}} + g(u) = 0 \quad\text{on}\quad \partial\Omega\times(0,T), \\ & u(x,0) = u_0(x),\end{aligned}\tag \(*\) \] where \(\Omega\) is a sufficiently smooth ...
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Existence of solution for a class of nonlocal elliptic problem via sub–supersolution method [PDF]
Nonlinear Analysis: Real World Applications, 2015 We show the existence of solution for some classes of nonlocal problems. Our proof combines the presence of sub and supersolution with the pseudomonotone operators theory.
Claudianor O. Alves +1 more
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Approximate Reachability for Feedback Linearizable Systems
Optimal Control Applications and Methods, EarlyView.The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
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Sub-supersolution method for quasilinear parabolic variational inequalities
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carl, S., Le, Vy K.
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