Surjectivity results for pseudo-monotone mappings in complementary systems

DOI10.1016/0022-247X(76)90086-XzbMath0325.47042MaRDI QIDQ1225327

Jean Pierre Gossez

Publication date: 1976

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

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60)

Related Items (17)

Regularity and existence of solutions of elliptic equations with p,q- growth conditions ⋮ A remark on strongly nonlinear elliptic boundary value problems ⋮ Unnamed Item ⋮ Solvability of Strongly Nonlinear Obstacle Parabolic Problems in Inhomogeneous Orlicz–Sobolev Spaces ⋮ On Galerkin's method in the existence theory of quasilinear elliptic equations ⋮ Sui problemi ellittici non lineari con coefficienti crescenti rapidamente o lentamente ⋮ A strongly nonlinear elliptic problem with generalized growth in Musielak spaces ⋮ Variational inequalities in Orlicz-Sobolev spaces ⋮ Variational nonlinear elliptic equations in nonreflexive Musielak spaces ⋮ Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains ⋮ Entropy solutions for nonlinear parabolic equations with nonstandard growth in non-reflexive Orlicz spaces ⋮ Relative rotation and variational inequalities ⋮ Uniqueness and stability of strongly nonlinear elliptic boundary value problems ⋮ \(L^\infty\)-bounds of solutions for a class of strongly nonlinear elliptic equations in Musielak spaces ⋮ Nonlinear perturbations of a linear elliptic problem near its first eigenvalue ⋮ Convergence of nonlinear elliptic operators and application to a quasi- variational inequality ⋮ High order nonlinear parabolic equations

Cites Work

• Local boundedness of nonlinear, monotone operators
• Asymptotic fixed point theorems
• Orlicz-Sobolev spaces and imbedding theorems
• Surjectivity results for non-linear mappings from a Banach space to it's dual
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
• Boundary value problems for quasilinear elliptic equations with rapidly increasing coefficients
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