Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms

Moschini L.; Tesei A.; Pohozaev SI.

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Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms

机译：一阶非线性Dirichlet问题解的存在和不存在

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Existence theorems for nonnegative solutions to a class of nonlinear Dirichlet problems with first order terms are proved. Nonexistence results are also discussed, depending on the regularity of the coefficient of the first order term. The proofs make use of a direct variational approach and of integral identities. (C) 2000 Academic Press. [References: 21]

机译：证明了一类具有一阶项的非线性Dirichlet问题的非负解的存在性定理。根据一阶项的系数的规律性，还讨论了不存在的结果。证明采用直接变分方法和整体身份。（C）2000学术出版社。 [参考：21]

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《Journal of Functional Analysis》 |2000年第2期|共18页
作者
Moschini L.; Tesei A.; Pohozaev SI.;
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正文语种 eng
中图分类数学;
关键词
Dirichlet problems; First order terms; Existence of solutions; Nonexistence of solutions; Problems of indefinite type; Nonnegative solutions; Semilinear elliptic problems; Reaction-diffusion equation; Behavior;

机译：Dirichlet问题;一阶项;解的存在;解的不存在;不定类型的问题;负解;半线性椭圆型问题;反应扩散方程;行为;

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机译：一阶非线性Dirichlet问题解的存在和不存在
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6. New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications [O] . Xu Chen, Lei Zhang -1

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7. Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms [O] . Luisa Moschini, Stanislav I. Pohozaev, Alberto Tesei 2000

机译：具有一阶项的非线性Dirichlet问题的解的存在和不存在

Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms

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