참고문헌
- Sobolev spaces R. A. Adams
- SIAM Rev. v.18 Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces H. Amann
- Nonlinear analysis periodic solutions of semilinear parabolic equations H. Amann;L. Cesari(ed);R. Kannan(ed);H. F. Weinberger(ed)
- J. Math. Anal. Appl. v.75 On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function K. J. Brown;S. S. Lin
- Proc. Roy. Soc. Edinburgh v.112A Diffusive logistic equations with indefinite weights: population models in disrupted environments R. S. Cantrell;C. Cosner
- J. Functional Analysis v.8 Bifurcation from simple eigenvalues M. G. Crandall;P. H. Rabinowitz
- Lecture Notes in Mathematics no.957 Positive solutions of semilinear elliptic problems D. G. de Figueiredo
- Nonlinear functional analysis K. Deimling
- J. Differential Equations v.127 Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equation J. M. Fraile;P. Koch Medina;J. Lopez-Gomez;S. Merino
- Arch. Rational Mech. Anal v.145 Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs J. Garcia-melian;R. Gomez-Renasco;J. Lopez-Gomez;J. C. Sabina de Lis
- Elliptic partial differential equations of second order D. Gillbarg;N. S. Trudinger
- Pitman Research Notes in Mathematical Series v.247 Periodic-parabolic boundary value problems and positivity P. Hess
- Comm. Partial Differential Equations v.5 On some linear and nonlinear eigenvalue problems with an indefinite weight function P. Hess;T. Kato
- Linear and quasilinear elliptic equations O. A. Ladyzhenskaya;N. N. Ural'tseva
- J. Differential Equations v.148 First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs J. Lopez-Gomez;J. C. Sabina de Lis
- Boll. Un. mat. Ital v.7 Un'estensione della teoria variazionale classica degli autovalori per operatori ellitici del secondo ordine A. Manes;A. M. Micheletti
-
Trans. Amer. Math. Soc.
v.331
On the positive solutions of semilinear equations
$Δu + λu-hu^p = 0$ on the compact manifolds T. C. Ouyang - Nonlinear parabolic and elliptic equations C. V. Pao
- J. Math. v.3 Some aspects of nonlinear eigenvalue problems, Rocky Mountain P. H. Rabinowitz
-
Proc. Roy. Soc. Edinburgh
v.93A
Uber die
$C^2$ Kompaktheit der Bahn von Losungen semilinearer parabolischer Systeme R. Redlinger - Methods of modern mathematical physics IV M. Reed;B. Simon
- Topics in stability and bifurcation theory, Lecture Notes in Mathematics no.309 D. H. Sattinger
- Comm. Partial Differential Equations v.8 On a nonlinear elliptic eigenvalue problem with Neumann boundary conditions with an application to population genetics S. Senn
- Math. Ann. v.258 On positive solutions of a linear elliptic eigenvalue problem with Neumann boundary conditions S. Senn;P. Hess
- J. Differential Equations v.122 The Yamabe problem and nonlinear boundary value problems K. Taira
- Adv. Differential Equations v.7 Diffusive logistic equations in population dynamics K. Taira
- Functional analysis(sixth edition) K. Yosida