An existence result for nonlinear and noncoercive problems

DOI10.1016/S0362-546X(96)00304-5zbMath0911.35045OpenAlexW1975938880MaRDI QIDQ4208387

Teresa Del Vecchio, Maria Rosaria Posteraro

Publication date: 1 September 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00304-5

zbMATH Keywords

a priori estimateapproximate problemssymmetrization techniques

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Theoretical approximation in context of PDEs (35A35)

Related Items (29)

Nonlinear parabolic inequalities in Lebesgue-Sobolev spaces with variable exponent ⋮ Existence and stability results for renormalized solutions to noncoercive nonlinear elliptic equations with measure data ⋮ Two linear noncoercive Dirichlet problems in duality ⋮ Morrey estimates for a class of elliptic equations with drift term ⋮ Gradient estimates for nonlinear elliptic equations with first order terms ⋮ Existence of renormalized solution of nonlinear elliptic problems with lower order term in Orlicz spaces ⋮ Renormalized solutions of non-linear elliptic problems with three lower-order terms and $ L^1$-data ⋮ Nonlinear evolution equations with noncoercive lower order terms ⋮ The impact of the zero order term in the study of Dirichlet problems with convection or drift terms ⋮ Uniformly nonlinear elliptic problems with obstacle ⋮ Dirichlet problem for noncoercive nonlinear elliptic equations with singular drift term in unbounded domains ⋮ Existence of renormalized solutions to nonlinear elliptic equations with lower-order terms and right-hand side a measure. ⋮ Stability and existence results for a class of nonlinear parabolic equations with three lower order terms and measure data using Lorentz spaces ⋮ Existence and uniqueness for nonlinear anisotropic elliptic equations ⋮ On a class of nonlinear elliptic problems with obstacle ⋮ EXISTENCE RESULT FOR NONLINEAR PARABOLIC EQUATIONS WITH LOWER ORDER TERMS ⋮ Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Scale invariant regularity estimates for second order elliptic equations with lower order coefficients in optimal spaces ⋮ Continuous dependence on the data for nonlinear elliptic equations via symmetrization ⋮ Calderon-Zygmund-Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift ⋮ Existence of renormalized solutions to nonlinear elliptic equations with two lower order terms and measure data ⋮ An approach via symmetrization methods to nonlinear elliptic problems with a lower order term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ A nonlinear homotopy between two linear Dirichlet problems ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Very singular solutions for linear Dirichlet problems with singular convection terms ⋮ Uniqueness results for nonlinear elliptic equations with a lower order term ⋮ Nonlinear degenerate elliptic equations with a convection term

Cites Work

• Quasi-minima
• Comparison results for elliptic and parabolic equations via Schwarz symmetrization
• Nonlinear elliptic and parabolic equations involving measure data
• Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
• Quasilinear elliptic problems with measures as data
• Alcune condizioni sufficienti per l'esistenza e l'unicita della soluzione di una disequazione variazionale non coerciva
• Sulle migliori costanti di maggiorazione per una classe di equazioni ellittiche degeneri
• Existence results for a class of non coercive Dirichlet problems
• Nonlinear elliptic equations with measure data
• Existence and regularity results for nonlinear elliptic equations with measure data
• Linear and quasilinear elliptic equations
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Comparison and regularity results for a nonlinear elliptic equation
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
• Variational inequalities
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