On a class of nonhomogeneous elliptic equation on compact Riemannian manifold without boundary

DOI10.1007/s00009-018-1158-0zbMath1404.35192OpenAlexW2800726385WikidataQ115390329 ScholiaQ115390329MaRDI QIDQ723806

Manassés de Souza

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1158-0

zbMATH Keywords

quasilinear elliptic equationexistence of solutionscritical exponentcompact Riemann manifold

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (2)

Kirchhoff type elliptic systems with exponential growth nonlinearities ⋮ A quasilinear elliptic equation with critical growth on compact Riemannian manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a singular elliptic problem involving critical growth in \({\mathbb{R}^{\text N}}\)
• On a singular and nonhomogeneous \(N\)-Laplacian equation involving critical growth
• On a singular class of elliptic systems involving critical growth in \(\mathbb R^2\)
• Exponential problem on a compact Riemannian manifold without boundary
• A quasi-linear elliptic equation with critical growth on compact Riemannian manifold without boundary
• On a nonlinear partial differential equation having natural growth terms and unbounded solution
• Functional analysis, Sobolev spaces and partial differential equations
• Existence of bounded solutions for non linear elliptic unilateral problems
• Sharp borderline Sobolev inequalities on compact Riemannian manifolds
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• On a class of quasilinear elliptic problems involving Trudinger-Moser nonlinearities
• Elliptic problems with lack of compactness via a new fixed point theorem
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

This page was built for publication: On a class of nonhomogeneous elliptic equation on compact Riemannian manifold without boundary