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논문 기본 정보
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- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.12 No.4
- 발행연도
- 2008.12
- 수록면
- 261 - 269 (9page)
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초록· 키워드
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Let B₁ be a unit ball in Rⁿ (n ≥ 3), and 2<SUP>*</SUP> = 2n/(n-2) be the critical Sobolev exponent for the embedding H¹ (B₁) →L<SUP>2*</SUP>(B₁). By using a variant of Pohoz?ev's identity, we prove the nonexistence of nodal solutions for the Dirichlet problem -△u-μuu/ㅣxㅣ² = λu+ㅣuㅣ<SUP>2*-2</SUP>u in B₁, u=0 on ?B₁ for suitable positive numbers μ and v.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. NONEXISTENCE OF NODAL SOLUTIONS
REFERENCES
참고문헌 (11)
참고문헌 신청
S. Bae / 2001 / Nonexistence of nodal solutions of nonlinear elliptic equations / Nonlinear Anal. TMA 46:1111~1122
D. Cao / 2003 / A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms / J. Differential Equations 193:424~434
H. Brezis / 1983 / Positive solutions of nonlinear equations involving critical Sobolev exponents / Comm. Pure Appl. Math 36:437~477
G. Ceramini / 1986 / Some existence results for superlinear elliptic boundary value problems involving critical exponents / J. Funct. Anal 69:289~306
H. O. Choi / 2003 / On nodal solutions of nonlinear elliptic equations with singular terms
D. Cao / 2003 / A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms / J. Differential Equations 193:424~434
H. Brezis / 1983 / Positive solutions of nonlinear equations involving critical Sobolev exponents / Comm. Pure Appl. Math 36:437~477
G. Ceramini / 1986 / Some existence results for superlinear elliptic boundary value problems involving critical exponents / J. Funct. Anal 69:289~306
H. O. Choi / 2003 / On nodal solutions of nonlinear elliptic equations with singular terms
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UCI(KEPA) : I410-ECN-0101-2009-410-015704197