An eigenvalue problem for quasi-linear elliptic partial differential equations
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- by Melvyn S. Berger PDF
- Bull. Amer. Math. Soc. 71 (1965), 171-175
References
- Shmuel Agmon, The $L_{p}$ approach to the Dirichlet problem. I. Regularity theorems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 13 (1959), 405–448. MR 125306
- S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math. 12 (1959), 623–727. MR 125307, DOI 10.1002/cpa.3160120405
- Felix E. Browder, On the spectral theory of elliptic differential operators. I, Math. Ann. 142 (1960/61), 22–130. MR 209909, DOI 10.1007/BF01343363
- Felix E. Browder, Functional analysis and partial differential equations. II, Math. Ann. 145 (1961/62), 81–226. MR 136857, DOI 10.1007/BF01342796
- G. F. D. Duff, Modified boundary value problems for a quasi-linear elliptic equation, Canadian J. Math. 8 (1956), 203–219. MR 78560, DOI 10.4153/CJM-1956-024-5 6. M. Golomb, Zur Theorie der nichtlinearen Integralgleichungen, Math. Z. 39 (1934), 45-75.
- Norman Levinson, Positive eigenfunctions for $\Delta u+\lambda f(u)=0$, Arch. Rational Mech. Anal. 11 (1962), 258–272. MR 145216, DOI 10.1007/BF00253940 8. M. Vaĭnberg, Variational methods for investigation of nonlinear operators, GITTL, Moscow, 1956.
Additional Information
- Journal: Bull. Amer. Math. Soc. 71 (1965), 171-175
- DOI: https://doi.org/10.1090/S0002-9904-1965-11274-5
- MathSciNet review: 0179458