EXPONENTIAL DECAY OF THE SOLUTIONS FOR NONLINEAR BIHARMONIC EQUATIONS

DOI10.1142/S0219199707002629zbMath1144.35346MaRDI QIDQ5386897

Yinbin Deng, Yi Li

Publication date: 14 May 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

fundamental solutionsHankel functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30)

Related Items (8)

Blowup for biharmonic Schrödinger equation with critical nonlinearity ⋮ Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\) ⋮ A Fourier approach for nonlinear equations with singular data ⋮ Exponential decay of the solutions for nonlinear multiharmonic equations ⋮ Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion ⋮ High-speed excited multi-solitons in nonlinear Schrödinger equations ⋮ Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation ⋮ Nodal multi-peak standing waves of fourth-order Schrödinger equations with mixed dispersion

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