Nontrivial solutions for p-Laplace equations with right hand side having p-linear growth at infinity

Silvia Cingolani; Marco Degiovanni

doi:10.1080/03605300500257594

Nontrivial solutions for p-Laplace equations with right hand side having p-linear growth at infinity

Silvia Cingolani
, Marco Degiovanni^*

^*Corresponding author

Faculty of Mathematical, Physical and Natural Sciences

Polytechnic University of Bari

Research output: Contribution to journal › Article › peer-review

100 Citations (Scopus)

Abstract

The existence of a nontrivial solution for quasilinear elliptic equations involving the p-Laplace operator and a nonlinearity with p-linear growth at infinity is proved. Techniques of Morse theory are employed.

Original language	English
Pages (from-to)	1191-1203
Number of pages	13
Journal	Communications in Partial Differential Equations
Volume	30
Issue number	8
DOIs	https://doi.org/10.1080/03605300500257594
Publication status	Published - 2005

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Critical point theory
Differential equations
Equazioni differenziali
Teoria dei punti critici

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10.1080/03605300500257594

Cite this

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abstract = "The existence of a nontrivial solution for quasilinear elliptic equations involving the p-Laplace operator and a nonlinearity with p-linear growth at infinity is proved. Techniques of Morse theory are employed.",

keywords = "Critical point theory, Differential equations, Equazioni differenziali, Teoria dei punti critici, Critical point theory, Differential equations, Equazioni differenziali, Teoria dei punti critici",

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year = "2005",

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AU - Cingolani, Silvia

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N2 - The existence of a nontrivial solution for quasilinear elliptic equations involving the p-Laplace operator and a nonlinearity with p-linear growth at infinity is proved. Techniques of Morse theory are employed.

AB - The existence of a nontrivial solution for quasilinear elliptic equations involving the p-Laplace operator and a nonlinearity with p-linear growth at infinity is proved. Techniques of Morse theory are employed.

KW - Critical point theory

KW - Differential equations

KW - Equazioni differenziali

KW - Teoria dei punti critici

KW - Critical point theory

KW - Differential equations

KW - Equazioni differenziali

KW - Teoria dei punti critici

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JF - Communications in Partial Differential Equations

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ER -

Nontrivial solutions for p-Laplace equations with right hand side having p-linear growth at infinity

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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