On the existence of bounded solutions for a nonlinear elliptic system
From MaRDI portal
Publication:1927680
DOI10.1007/s10231-011-0205-2zbMath1263.35096arXiv1011.0412OpenAlexW2039301025MaRDI QIDQ1927680
Marisa Toschi, Marcela Sanmartino, Ricardo G. Durán
Publication date: 2 January 2013
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.0412
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Higher-order elliptic systems (35J48)
Related Items (1)
Cites Work
- Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems
- A Liouville type theorem for polyharmonic elliptic systems
- Weak eigenfunctions for the linearization of extremal elliptic problems
- Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
- Existence and nonexistence of positive singular solutions for a class of semilinear elliptic systems
- A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces
- Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces
- Blow up for \(u_ t- \Delta u=g(u)\) revisited
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- Differential systems with strongly indefinite variational structure
- Liouville-type theorems for polyharmonic systems in \(\mathbb R^N\)
- Weighted a priori estimates for solution of (−Δ) m u = f with homogeneous dirichlet conditions
- On a class of superlinear elliptic problems
- A rellich type identity and applications
- Uniform anti-maximum principle for polyharmonic boundary value problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the existence of bounded solutions for a nonlinear elliptic system