Existence of positive solutions of variational inequalities by a subsolution-supersolution approach

DOI10.1006/jmaa.2000.6907zbMath0980.49011OpenAlexW2022665132MaRDI QIDQ1840787

Vy Khoi Le

Publication date: 9 December 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6907

zbMATH Keywords

variational inequalitypositive solutionsub-supersolutionLaplacian equation

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence of solutions for minimax problems (49J35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

On a parabolic variational inequality related to a sandpile problem ⋮ Enclosure results for quasilinear systems of variational inequalities ⋮ 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 ⋮ 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 ⋮ Extremal solutions for a class of unilateral problems. ⋮ On a sub-supersolution method for the prescribed mean curvature problem ⋮ An obstacle problem for nonlinear hemivariational inequalities at resonance

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