Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities

Bhakta Mousomi

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Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities

机译：具有双调和算子和多个临界非线性的半线性椭圆方程

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摘要

We study the existence and non-existence of nontrivial weak solution of

机译：我们研究了非平凡弱解的存在与不存在

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来源
《Advanced nonlinear studies》 |2015年第4期|共14页
作者
Bhakta Mousomi;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Multiple critical nonlinearities; Biharmonic operator; nonexistence; existence; Pohozaev identity; fourth order equation; Rellich potential;

机译：多重临界非线性;双谐波算子;不存在;存在;Pohozaev恒等式;四阶方程;Rellich势;

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专利

1. Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities [J] . Bhakta Mousomi Advanced nonlinear studies . 2015,第4期

机译：具有双调和算子和多个临界非线性的半线性椭圆方程
2. EXISTENCE OF MULTIPLE SOLUTIONS AND BIFURCATION FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS [J] . DENG Yinbin, YANG Jianfu Systems Science and Mathematical Sciences . 1995,第4期

机译：临界半线性双线性方程的多重解和分支的存在
3. Concentration profile, energy, and weak limits of radial solutions to semilinear elliptic equations with Trudinger-Moser critical nonlinearities [J] . Naimen Daisuke Calculus of variations and partial differential equations . 2021,第2期

机译：特鲁格MOSER关键非线性浓度剖面，能量和径向解的径向解的辐条溶液方程的弱限制
4. On the Critical Curves of a Degenerate Parabolic Equation with Multiple nonlinearities and Variable Density [C] . Mersaid Aripov, Zafar Rakhmonov International Conference on Fluid Mechanics and Heat Mass Transfer . 2015

机译：具有多个非线性和可变密度的退化抛物型方程的临界曲线
5. Existence and bifurcation of multiple positive solutions for some semilinear elliptic equations. [D] . Zhao, Xuejin. 1998

机译：一类半线性椭圆型方程的多个正解的存在性和分歧。
6. Colloquium PaperNonlinear partial differential equations and applications: Some nonlinear elliptic equations from geometry [O] . YanYan Li 2007

机译：非线性偏微分方程及其应用：几何学中的一些非线性椭圆方程
7. A note on semilinear elliptic equation with biharmonic operator and multiple critical nonlinearities [O] . Bhakta, Mousomi 2014

机译：关于带双调和算子的半线性椭圆方程的一个注记多重临界非线性

Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities

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