Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents
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Publication:1347265
DOI10.1007/BF01205006zbMath0822.35049OpenAlexW2037587242MaRDI QIDQ1347265
Publication date: 4 April 1995
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01205006
Optimality conditions for problems involving partial differential equations (49K20) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for higher-order elliptic equations (35J40)
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Cites Work
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- The concentration-compactness principle in the calculus of variations. The limit case. I
- Critical exponents and multiple critical dimensions for polyharmonic operators
- Critical exponents and critical dimensions of polyharmonic operators
- Critical exponents, critical dimensions and the biharmonic operator
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- ON SIGN VARIATION AND THE ABSENCE OF "STRONG" ZEROS OF SOLUTIONS OF ELLIPTIC EQUATIONS
- Critical semilinear biharmonic equations in RN
- Existence and regularity of weak solutions to the Dirichletproblem for semilinear elliptic systems of higher order.
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