Geodesic
Sign-changing solutions of boundary value problems for semilinear Δ γ -Laplace equations
Luyen, Duong Trong1
1 Ton Duc Thang University, Ho Chi Minh City, Vietnam
Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 113-134.

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In this article, we study the multiplicity of weak solutions to the boundary value problem

-G α u=g(x,y,u)+f(x,y,u)inΩ,u=0on∂Ω,
where Ω is a bounded domain with smooth boundary in ℝ N (N≥2),α∈ℕ,g(x,y,ξ),f(x,y,ξ) are Carathéodory functions and G α is the Grushin operator. We use the lower bounds of eigenvalues and an abstract theory on sign-changing solutions.

Publié le :
DOI : 10.4171/RSMUP/42
Classification : 35, 00
Mots-clés : $\Delta_{\gamma}$-Laplace equations, critical point theorem, sign-changing solutions, boundary value problems, Grushin operator

Luyen, Duong Trong 1

1 Ton Duc Thang University, Ho Chi Minh City, Vietnam 
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     author = {Luyen, Duong Trong},
     title = {Sign-changing solutions of boundary value problems for semilinear $\Delta_{\gamma}${-Laplace} equations},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {113--134},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {143},
     year = {2020},
     doi = {10.4171/RSMUP/42},
     mrnumber = {4103742},
     zbl = {1444.35077},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/42/}
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Luyen, Duong Trong. Sign-changing solutions of boundary value problems for semilinear $\Delta_{\gamma}$-Laplace equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 113-134. doi : 10.4171/RSMUP/42. http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/42/

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