Nonexistence of nontrivialweak solutions for anisotropic elliptic problems

DOI10.2298/FIL1815415FzbMath1499.35286MaRDI QIDQ5088145

Tingfu Feng

Publication date: 4 July 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

nonexistenceanisotropic elliptic problemsnontrivial weak solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and regularity for critical anisotropic equations with critical directions
• Existence of solution for a anisotropic equation with critical exponent.
• Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations
• Regularity of minimizers of non-isotropic integrals of the calculus of variations
• On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data
• Extremal functions for the anisotropic Sobolev inequalities
• The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞
• Multiplicity Results for an Anisotropic Equation with Subcritical or Critical Growth
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics