Subsolution-supersolution method in variational inequalities

DOI10.1016/S0362-546X(99)00440-XzbMath1040.49008OpenAlexW2003434462MaRDI QIDQ5945993

Vy Khoi Le

Publication date: 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00440-x

zbMATH Keywords

variational inequalitiessubsolutionsupersolution

Mathematics Subject Classification ID

Related Items (28)

Existence of solutions for quasilinear elliptic obstacle problems ⋮ Monotone penalty approximation of extremal solutions for quasilinear noncoercive variational inequalities ⋮ Enclosure results for quasilinear systems of variational inequalities ⋮ Nonlinear hemivariational inequalities of second order using the method of upper-lower solutions ⋮ On variational and quasi-variational inequalities with multivalued lower order terms and convex functionals ⋮ Sub-supersolution method and extremal solutions for higher order quasi-linear elliptic hemi-variational inequalities ⋮ Some existence results and properties of solutions in quasilinear variational inequalities with general growths ⋮ A global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities ⋮ Principal frequency and existence of solutions for quasilinear elliptic obstacle problems. ⋮ On variational inequalities with multivalued perturbing terms depending on gradients ⋮ On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces ⋮ Eigenvalue problems for nonlinear elliptic equations with unilateral constraints ⋮ Sub-supersolutions in a variational inequality related to a sandpile problem ⋮ On variational inequalities with maximal monotone operators and multivalued perturbing terms in Sobolev spaces with variable exponents ⋮ On parabolic variational inequalities with multivalued terms and convex functionals ⋮ Existence results for quasi-variational inequalities with multivalued perturbations of maximal monotone mappings ⋮ A Peano-Akô type theorem for variational inequalities ⋮ Sub-supersolution method in variational inequalities with multivalued operators given by integrals ⋮ Existence and comparison principles for general quasilinear variational-hemivariational inequal\-ities ⋮ Extremal solutions for a class of unilateral problems. ⋮ Existence of positive solutions for a class of \(\left(p \left(x\right), q \left(x\right)\right)\)-Laplacian elliptic systems with multiplication of two separate functions ⋮ A new proof of existence of positive weak solutions for sublinear Kirchhoff elliptic systems with multiple parameters ⋮ On a sub-supersolution method for the prescribed mean curvature problem ⋮ Sub-super-solution method for a class of higher order evolution hemivariational inequalities ⋮ Sub-supersolution method for quasilinear parabolic variational inequalities ⋮ Existence of positive solutions of variational inequalities by a subsolution-supersolution approach ⋮ An obstacle problem for nonlinear hemivariational inequalities at resonance ⋮ Finite-dimensional approximation for a class of elliptic obstacle problems

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