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35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO (28 articles)

• Arriagada, Waldo; Huentutripay, Jorge: Asymptotic properties of a $\varphi$-Laplacian and Rayleigh quotient. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 3, pp. 345-362
• Khim, Sreyaun; Rodtes, Kijti: Inverse eigenvalue problem of cell matrices. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 1015-1027
• Benedikt, Jiří: Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 215-222
• Drábek, Pavel: Two notions which affected nonlinear analysis (Bernard Bolzano lecture). (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 699-711
• Dai, Xiaoying; He, Lianhua; Zhou, Aihui: Adaptive finite element analysis based on perturbation arguments. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 62-71
• Drábek, Pavel: Recent results on quasilinear differential equations. II. (English). In: Rákosník, Jiří (ed.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the International School held in Třešť, September 11-17, 2010. Vol. 9. Institute of Mathematics AS CR, Praha, 2011. pp. 31-61
• Svanstedt, Nils: Stochastic homogenization of a class of monotone eigenvalue problems. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 385-404
• Yang, Zuodong; Yuan, Junli: Non-existence result for quasi-linear elliptic equations with supercritical growth. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 3, pp. 417-430
• Poulou, M. N.; Stavrakakis, N. M.: Eigenvalue questions on some quasilinear elliptic problems. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 457-460
• Jarlebring, Elias; Voss, Heinrich: Rational Krylov for nonlinear eigenproblems, an iterative projection method. (English). Applications of Mathematics, vol. 50 (2005), issue 6, pp. 543-554
• Voss, Heinrich: A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 607-622
• Drábek, Pavel: On Fredholm alternative for certain quasilinear boundary value problems. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 197-202
• Gajewski, Herbert: An application of eigenfunctions of $p$-Laplacians to domain separation. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 395-401
• Bouchala, Jiří: Landesman–Lazer type conditions and quasilinear elliptic equations. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 45-51
• Drábek, Pavel: On Fredholm alternative for certain quasilinear boundary value problems. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 51-56
• Binding, Paul A.; Drábek, Pavel; Huang, Yin Xi: Positive solutions of critical quasilinear elliptic equations in $R \sp N$. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 149-166
• Drábek, Pavel; Moudan, Zakaria; Touzani, Abdelfettah: Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 421-431
• Huang, Yin Xi: Eigenvalues of the $p$-Laplacian in ${\boldkey R}^N$ with indefinite weight. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 519-527
• Drábek, Pavel: The least eigenvalues of nonhomogeneous degenerated quasilinear eigenvalue problems. (English). Mathematica Bohemica, vol. 120 (1995), issue 2, pp. 169-195
• Rother, Wolfgang: Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 125-138
• Lembcke, Jörn: On infinitely many solutions of a semilinear elliptic eigenvalue problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 727-731
• Drábek, P.: Solvability and bifurcations of some strongly nonlinear equations. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 155-158
• Resler, Jaroslav: Stability of eigenvalues and eigenvectors of variational inequalities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 541-550
• Neumann, Jan: An abstract differential inequality and eigenvalues of variational inequalities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 2, pp. 277-293
• Kučera, Milan; Neustupa, Jiří: Destabilizing effect of unilateral conditions in reaction-diffusion systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 171-187
• Drábek, Pavel; Kučera, Milan: Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 116-130
• Oswald, P.: On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 3, pp. 565-577
• Quittner, Pavol: Singular sets and number of solutions of nonlinear boundary value problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 2, pp. 371-385