The problem of Dirichlet for anisotropic quasilinear degenerate elliptic equations

DOI10.1016/j.jde.2007.01.009zbMath1143.35065OpenAlexW2086182242MaRDI QIDQ878538

Alkis S. Tersenov, Aris S. Tersenov

Publication date: 26 April 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.009

zbMATH Keywords

semilinear elliptic equationsa priori estimatesdegenerate elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items (16)

Singular and degenerate anisotropic parabolic equations with a nonlinear source ⋮ On the existence of nonnegative solutions to the Dirichlet boundary value problem for the p-Laplace equation in the presence of exterior mass forces ⋮ Existence of Lipschitz continuous solutions to the Cauchy-Dirichlet problem for anisotropic parabolic equations ⋮ Unnamed Item ⋮ The asymptotic behavior for anisotropic parabolic p‐Laplacian equations ⋮ On quasilinear anisotropic parabolic equations with time-dependent exponents ⋮ An eigenvalue problem involving an anisotropic differential operator ⋮ Comparison estimates in anisotropic variational problems ⋮ Anisotropic Picone identities and anisotropic Hardy inequalities ⋮ Regularity theory for one-dimensional variational problems with singular ellipticity ⋮ The blow-up of critical anisotropic equations with critical directions ⋮ New a priori estimates of solutions to anisotropic elliptic equations ⋮ Large solutions to an anisotropic quasilinear elliptic problem ⋮ Notes on existence of solutions for degenerate quasilinear elliptic equations ⋮ Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations ⋮ Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

Cites Work

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• The Dirichlet problem for a class of quasilinear elliptic equations.
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Positive solutions of inhomogeneous elliptic equations with indefinite data
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Gradient estimates for anisotropic elliptic equations
• On quasilinear non-uniformly elliptic equations in some non-convex domains
• On the Bernstein-Nagumos condition in the theory of nonlinear parabolic equations
• Multiple solutions for a non-homogeneous elliptic equation at the critical exponent
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

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