Results 21 to 30 of about 153 (146)
A Sub‐Supersolution Method for p‐Laplacian Equation with Non‐Local Term
Journal of Mathematics, 2022 This paper is concerned with the existence of solutions for p‐Laplace problems with non‐local term. We prove the sub‐supersolution theorem using the pseudomonotone operator theorem and Minty–Browder theorem with appropriate assumptions on M, gi(i = 1,2).
Mei Rong, Qing Miao
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The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method [PDF]
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2018 Abstract In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of positive solutions for Kirchhoff-type problems when the nonlinearity is ...
Yan, Baoqiang +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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Sub-supersolutions in a variational inequality related to a sandpile problem [PDF]
The ANZIAM Journal, 2006 AbstractIn this paper we study a variational inequality in which the principal operator is a generalised Laplacian with fast growth at infinity and slow growth at 0. By defining appropriate sub-and super-solutions, we show the existence of solutions and extremal solutions of this inequality above the subsolutions or between the sub- and super-solutions.
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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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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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Super and subsolutions for elliptic equations on all of ℝn
International Journal of Mathematics and Mathematical Sciences, 2002 By construction sub and supersolutions for the following semilinear elliptic equation −△u(x)=λg(x)f(u(x)), x∈ℝn which arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the
G. A. Afrouzi, H. Ghasemzadeh
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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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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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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.
Nguyen Hoang Loc, Klaus Schmitt
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