Existence theorem for a class of semilinear totally characteristic elliptic equations involving supercritical cone Sobolev exponents

DOI10.3934/cpaa.2019144zbMath1481.35222OpenAlexW3024518462WikidataQ127799332 ScholiaQ127799332MaRDI QIDQ2062544

Zhihua Huang, Xiaochun Liu

Publication date: 27 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019144

zbMATH Keywords

Dirichlet problemsemilinear degenerate elliptic equationsexistence of bounded positive solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61)

Related Items

Biharmonic equations with totally characteristic degeneracy

Cites Work

• Lower and upper bounds of Dirichlet eigenvalues for totally characteristic degenerate elliptic operators
• Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents
• Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities
• Pseudo-differential operators, singularities, applications
• Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents
• Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
• Realizations of differential operators on conic manifolds with boundary
• Multiple solutions of a semilinear elliptic equation in \(\mathbb{R}^ N\)
• Existence theorems for elliptic equations involving supercritical Sobolev exponent
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight on manifolds with conical singularities
• Multiple solutions for semi-linear corner degenerate elliptic equations
• Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Differential operators of Fuchs type, conical singularities, and asymptotic methods
• Existence Theorems for a Class of Edge-Degenerate Elliptic Equations on Singular Manifolds
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