Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions
From MaRDI portal
Publication:521611
DOI10.1007/s00605-015-0874-9zbMath1368.35147OpenAlexW2228966674MaRDI QIDQ521611
Siegfried Carl, Motreanu, Dumitru
Publication date: 11 April 2017
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-015-0874-9
Maximum principles in context of PDEs (35B50) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)
Related Items (20)
Inclusion problems via subsolution–supersolution method with applications to hemivariational inequalities ⋮ Existence and uniqueness of elliptic systems with double phase operators and convection terms ⋮ On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence ⋮ Systems of quasilinear elliptic equations with dependence on the gradient via subsolution-supersolution method ⋮ Doubly coupled systems of parabolic hemivariational inequalities: existence and extremal solutions ⋮ Coupled double phase obstacle systems involving nonlocal functions and multivalued convection terms ⋮ Multiple solutions to quasi-linear elliptic Robin systems ⋮ Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method ⋮ Nodal solutions for Neumann systems with gradient dependence ⋮ Some recent results on singular \(p\)-Laplacian systems ⋮ The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ A Parametric Dirichlet Problem for Systems of Quasilinear Elliptic Equations With Gradient Dependence ⋮ Doubly coupled systems of elliptic hemivariational inequalities: existence and location ⋮ Singular quasilinear elliptic systems involving gradient terms ⋮ Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions ⋮ The effects of convolution and gradient dependence on a parametric Dirichlet problem ⋮ A sub-supersolution approach for Neumann boundary value problems with gradient dependence ⋮ Multiple solutions for nonvariational quasilinear elliptic systems ⋮ Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics
Cites Work
- The maximum principle
- Global gradient estimates in elliptic problems under minimal data and domain regularity
- Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems
- Global boundedness of the gradient for a class of nonlinear elliptic systems
- Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
- Variational approach to noncoercive systems of elliptic variational inequalities via trapping region†
- Addendum to: Variational approach to noncoercive systems of elliptic variational inequalities via trapping region
- Boundary regularity for solutions of degenerate elliptic equations
- Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions