Regularity of the solutions for nonlinear biharmonic equations in \(\mathbb R^N\)

DOI10.1016/S0252-9602(09)60119-3zbMath1212.35175arXivmath/0703815OpenAlexW2159620151MaRDI QIDQ981821

Yinbin Deng, Yi Li

Publication date: 8 July 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703815

zbMATH Keywords

regularityfundamental solutionsnonlinear biharmonic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Biharmonic equations with totally characteristic degeneracy ⋮ On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth

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