Results 21 to 30 of about 151 (130)
Positive stationary solutions of convection-diffusion equations for superlinear sources [PDF]
Opuscula Mathematica, 2022 We investigate the existence and multiplicity of positive stationary solutions for acertain class of convection-diffusion equations in exterior domains.
Aleksandra Orpel
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Open Mathematics, 2020 This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In the present paper we deal with a quasilinear problem involving a singular term and a parametric superlinear perturbation. We are interested in the existence, nonexistence and multiplicity of positive solutions as the parameter $\lambda>0$ varies.
Ricardo Alves
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The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities
Differential and Integral Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued equations to quasilinear elliptic hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness, and extremality results for the hemivariational ...
Carl, S., Le, Vy K., Motreanu, D.
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An elliptic system with logarithmic nonlinearity
Advances in Nonlinear Analysis, 2017 In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp(x){\Delta_{p(x)}} and Δq(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor +2 more
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Opuscula Mathematica, 2023 Summary: 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 physics.
Leandro S. Tavares +1 more
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Rendiconti Lincei, Matematica e Applicazioni, 2023 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. The aim of our work is to establish an enclosure and existence result for such systems by means of trapping regions formed by pairs of sub- and supersolutions.
Guarnotta, Umberto +2 more
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Existence of Positive Solutions for Non-Local Magnetic Fractional Systems
Fractal and FractionalIn this paper, the existence of a weak positive solution for non-local magnetic fractional systems is studied in the fractional magnetic Sobolev space through a sub-supersolution method combined with iterative techniques.
Tahar Bouali +3 more
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A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications [PDF]
Nonlinear Analysis, 2016 In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following where Ω is a smooth bounded domain of RN (N≥3), β,μ≥0 ...
Carmona Tapia, José +2 more
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Electronic Journal of Differential Equations, 2021 In this work we show the existence and multiplicity of positive solutions for a singular elliptic problem which the operator is non-linear and non-homogenous. We use the sub-supersolution method to study the following class of \(p\&q\)-singular problems $$\displaylines{ -\hbox{div}(a(|\nabla u|^{p})|\nabla u|^{p-2}\nabla u) =h(x)u^{-\gamma}+ f(x,
Suellen Cristina Q. Arruda +1 more
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