On Variational Inequalities Driven by Elliptic Operators Not in Divergence Form

DOI10.1515/ANS-2012-0309zbMath1260.49014OpenAlexW135823057MaRDI QIDQ4898271

Raffaella Servadei, Michele Matzeu

Publication date: 30 December 2012

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2012-0309

zbMATH Keywords

variational methodscritical point theorypenalization methoditerative techniques\(C^{1,\alpha}\)-regularitysemilinear elliptic variational inequalitiesMountain pass theoremelliptic operators not in divergence form

Mathematics Subject Classification ID

Variational inequalities (49J40) Regularity of solutions in optimal control (49N60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (1)

Sign-changing solutions for semilinear elliptic equations with dependence on the gradient via the Nehari method

Cites Work

• Unnamed Item
• A semilinear elliptic PDE not in divergence form via variational methods
• Dual variational methods in critical point theory and applications
• The Lewy--Stampacchia inequality for the obstacle problem with quadratic growth in the gradient
• Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations
• A Linking Type Method to Solve a Class of Semilinear Elliptic Variational Inequalities

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