Results 11 to 20 of about 1,967,647 (144)
Discrete and Continuous Dynamical Systems, 2018 We construct a heteroclinic solution to the FitzHugh-Nagumo type reaction-diffusion system (FHN RD system) with heterogeneity by the sub-supersolution method due to [ 5 ].
T. Kajiwara
exaly +5 more sources
Applications of Sub-Supersolution Theorems to Singular Nonlinear Elliptic Problems
Advanced Nonlinear Studies, 2011 Abstract The results presented here were motivated by several recent papers on singular boundary value problems for semilinear elliptic equations with convection terms. We present extensions which cover singular nonlinear equations (mainly equations involving the p−Laplacian) containing convection terms.
Klaus Schmitt
exaly +3 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we show existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither linear.
Suellen Arruda, Rubia Nascimento
doaj +2 more sources
The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2022 In this paper we study quasilinear elliptic systems driven by variable exponent double phase operators involving fully coupled right-hand sides and nonlinear boundary conditions.
U. Guarnotta, R. Livrea, Patrick Winkert
semanticscholar +5 more sources
A sub-supersolution approach for a quasilinear Kirchhoff equation [PDF]
Journal of Mathematical Physics, 2014 In this paper, we establish an existence result for a quasilinear Kirchhoff equation, via a sub- and supersolution approach, by using the Minty-Browder’s Theorem for pseudomonotone operators theory.
C. O. Alves, F. Corrêa
semanticscholar +4 more sources
Opuscula Mathematica, 2023 . In this paper it is obtained, through variational methods and sub-supersolution arguments, existence and multiplicity of solutions for a nonhomogeneous problem which arise in several branches of science such as chemical reactions, biophysics and plasma
L. S. Tavares, J. V. C. Sousa
semanticscholar +3 more sources
On the sub-supersolution method for p(x)-Kirchhoff type equations [PDF]
Journal of Inequalities and Applications, 2012 This paper deals with the sub-supersolution method for the p(x)-Kirchhoff type equations. A sub-supersolution principle for the Dirichlet problems involving p(x)-Kirchhoff is established.
Xiaoling Han, Guowei Dai
semanticscholar +3 more sources
On the sub-supersolution principle for p(x)-Laplacian equations
Gulf Journal of Mathematics, 2018 This paper deals with the sub-supersolution method for the p(x) -Laplacian Dirichlet problem. A sub-supersolution principle for the Dirichlet problems involving the p(x)-Laplacian is established by using induction method.
R. Ayazoğlu +2 more
semanticscholar +3 more sources
The sub-supersolution method for weak solutions [PDF]
Proceedings of the American Mathematical Society, 2008 Summary: We extend the method of sub- and supersolutions in order to prove existence of \(L^1\)-solutions of the equation \(-\Delta u = f(x,u)\) in \(\Omega\), where \(f\) is a Carathéodory function. The proof is based on the Schauder's fixed point theorem.
M. Montenegro, A. Ponce
semanticscholar +3 more sources
Electronic Journal of Differential Equations, 2022 We consider a system of nonlocal elliptic equations $$ \displaylines{ - \mathcal{A}(x, |v|_{L^{r_1(x)}}) \hbox{div}(a_1(|\nabla u|^{p_1(x)})|\nabla u|^{p_1(x)-2}\nabla u)\cr = f_1(x, u,v) |\nabla v|^{\alpha_1(x)}_{L^{q_1(x)}}+g_1(x, u,v) |\nabla v ...
Abdolrahman Razani +1 more
doaj +2 more sources