Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/varvec-p-p-laplacian-problems-involving-critical-hardy-sobolev-UKG1XSAFwr
References (12)
-
Edward R Fadell, Paul H Rabinowitz (1978)
Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systemsInvent. Math., 45
-
Paul H Rabinowitz (1978)
Some critical point theorems and applications to semilinear elliptic partial differential equationsAnn. Scuola Norm. Sup. Pisa Cl. Sci. (4), 5
-
S Mosconi, K Perera, M Squassina, Y Yang (2016)
The Brezis–Nirenberg problem for the fractional p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-LaplacianCalc. Var. Partial Differ. Equ., 55
-
K Perera, RP Agarwal, D O’Regan (2010)
10.1090/surv/161Morse Theoretic Aspects of p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian Type Operators
-
Kanishka Perera (2003)
Nontrivial critical groups in p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian problems via the Yang indexTopol. Methods Nonlinear Anal., 21
-
Marco Degiovanni, Sergio Lancelotti (2007)
Linking over cones and nontrivial solutions for p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplace equations with p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-superlinear nonlinearityAnn. Inst. H. Poincaré Anal. Non Linéaire, 24
-
Kanishka Perera, Marco Squassina, Yang Yang (2016)
Bifurcation and multiplicity results for critical p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian problemsTopol. Methods Nonlinear Anal., 47
-
N Ghoussoub, C Yuan (2000)
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponentsTrans. Am. Math. Soc., 352
-
P Bartolo, V Benci, D Fortunato (1983)
Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinityNonlinear Anal., 7
-
Vieri Benci (1982)
On critical point theory for indefinite functionals in the presence of symmetriesTrans. Am. Math. Soc., 274
-
Marco Degiovanni, Sergio Lancelotti (2009)
Linking solutions for p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplace equations with nonlinearity at critical growthJ. Funct. Anal., 256
-
Kanishka Perera, Andrzej Szulkin (2005)
p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian problems where the nonlinearity crosses an eigenvalueDiscrete Contin. Dyn. Syst., 13
- Publisher
- Springer Journals
- Copyright
- Copyright © Springer International Publishing AG, part of Springer Nature 2018
- Subject
- Mathematics; Analysis
- ISSN
- 1021-9722
- eISSN
- 1420-9004
- DOI
- 10.1007/s00030-018-0517-7
- Publisher site
- See Article on Publisher Site
Abstract
We prove existence, multiplicity, and bifurcation results for p-Laplacian problems involving critical Hardy–Sobolev exponents. Our results are mainly for the case λ≥λ1\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\lambda \ge \lambda _1$$\end{document} and extend results in the literature for 0<λ<λ1\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$0< \lambda < \lambda _1$$\end{document}. In the absence of a direct sum decomposition, we use critical point theorems based on a cohomological index and a related pseudo-index.
Journal
Nonlinear Differential Equations and Applications NoDEA – Springer Journals
Published: Jun 1, 2018
Keywords: p-Laplacian problems; Critical Hardy–Sobolev exponents; Existence; Multiplicity; Bifurcation; Critical point theory; Cohomological index; Pseudo-index; Primary 35J92; 35B33; Secondary 35J20